The toilet water filler keeps filling the bowl continuously and keeps running and wont stop. I replaced the flapper and this did not help. I do not have a ballcock in my tank so I'm not sure what to check next.

Couple of things to check. When reinstalling the toilet make sure it is level across the top of the bowl. Also if the bowl isn't filling check that the small filler tube is inserted into the main post top, Sometimes they get dislodged.
sean

hi Patricia.
Overview Toilets haven't changed much in the last 80 years. After a flush, water still fills a tank, lifting a float that shuts off the water when it reaches a certain level. A lever still opens a flapper to cause the flush, falling back into place when the water level drops. So it's no surprise (nor any consolation) that we face the same flush problems today that our grandparents did. Sometimes the flush is too wimpy, sometimes the toilet keeps running, and sometimes the bowl doesn't refill.
Our ace plumbing consultant has a simple four-step strategy to solve 95 percent of these problems. You can complete the first three steps in five minutes. That'll solve most problems. The fourth step is usually easy too, but not always. More on this later. These steps work for most toilets but not for pressure-assist models.
Check the fill tube

Overflow tube problem

Push the fill tube firmly onto the fill valve. Make sure the fill tube sends water into the overflow tube.Remove the tank lid and find the fill tube. It's a small flexible tube that runs from the fill valve to the overflow tube. While the tank refills, this tube squirts enough water down the overflow tube to refill the bowl after the completed flush. If this tube falls off or the water stream misses the overflow tube, the bowl won't fill and your next flush will be wimpy (that is, won't develop a strong siphon). Reattach the fill tube and make sure it perches about 1 in. above the rim of the overflow tube. Flush the toilet and watch the water stream to make sure it goes down the overflow tube.
Adjust the fill height

Check the float

Adjust the float to set the water level. Pinch the clip and slide the float up or down on the rod. Keep adjusting the float until the water shuts off at the proper level.The water level in the tank is controlled by an adjustable float. A float that's set too low produces a weak flush; if it's set too high, water spills into the overflow tube and the fill valve won't shut off. The toilet keeps running. Look for the fill level mark on the inside back of the tank and mark it on the overflow tube so you can see it more easily. If you can't find it, measure down about 1 in. on the overflow tube and make a mark. Then flush the toilet and see if the water reaches and stops at that mark. If not and the toilet keeps running, adjust the float up or down. If you have an old toilet, you'll have to bend the brass rod that connects to the float ball to make adjustments. But with newer toilets you usually turn a screw or slide a clip along a rod. Flush the toilet after each adjustment.
Also make sure that the water level is at least an inch below the C-L (critical level) marked on the fill valve. You can adjust the height of many valves to raise or lower the C-L.
Occasionally the fill valve simply won't shut off, which means that it's defective. If so, turn the water supply off at the shutoff under the tank. Buy a replacement valve (sold at hardware stores and home centers). You don't have to match the old one; many, like the one shown, fit most toilets. It's a 15-minute change-out.
Adjust the flush handle/flapper chain

Flapper chain fix

Adjust the chain to leave a little slack with the flapper closed. Then cut off the excess, leaving about an inch.A chain that's too short or tangled won't allow the flapper to close and water will continue to leak into the bowl. This causes the fill valve to cycle on and off to refill the tank. A chain that's too long, or a flush rod that hits the the tank lid, won't open the flapper wide enough to stay open for the full flush. You'll find yourself having to hold the lever to complete a good flush.
To avoid these problems, adjust the linkage in the chain to leave only a slight bit of slack when closed. Cut the chain at the rod to leave only about an inch extra to reduce the potential for tangles. Then put the tank lid back on and make sure the flush rod doesn't strike the lid when you press the lever. If it does, bend it down slightly and readjust the chain.
Replace the flapper

Change the flapper

Unsnap the old flapper and take it with you to the store to find an exact replacement. In addition to the closest replacement, pick up a "universal" type.If you've completed the first three steps and your toilet keeps running, chances are you have a worn-out flapper. Turn off the water, remove the old flapper and take it to the store to find an exact replacement. (Hardware stores often carry a wide variety.) Most flappers snap over ears on the overflow tube. Others have a ring that slips over the tube.
Now here's the catch. You may not find an exact match. The range of flapper styles has mushroomed over the last 15 years, and you may find 15 to 20 flapper options on the store shelf. Some packages include specific brand and model information (so note yours before you leave home). Others have a "universal" label. If you can't find an exact replacement, try the closest one and pick up a universal type as well. They're cheap, and the extra one just might save you a second trip to the store! (Avoid the "adjustable" types unless you're replacing an adjustable one.)
Install the new flapper and make sure it opens and closes freely. Then test it. If the toilet keeps running or runs intermittently, you're not getting a good seal. Try a different flapper if the toilet won't stop running.
If you just can't find a flapper that seals, consider replacing the entire overflow tube/flapper. On most toilets (two-piece), this means removing the tank. It's not difficult and you don't need special tools. It'll take you about an hour, and you'll avoid that expensive plumber service call.
if you go to this link it will show you step by step on how to fix it. How to Stop Running Toilet Family Handyman

Two possibilities. the flapper may not be seating correctly and not letting the water fill the tank high enough for the float to shut off the water. In this case replace flapper as they wear with time and chemicals and the rubber loses its elasticity and becomes very hard or brittle. Second if this does not solve problem, Replace water fill valve, it may have a grain of sand or spec of dirt inside it not letting it shut off completely when the float rises.

If there is a continual leak in to the toilet bowl you will likely need to replace the flush valve or the toilet flapper.

As a first step try try cleaning the sealing surface of the flush valve to se if the flapper will seat and make a seal.

If this does not work and the flapper is visibly detioriated and breaking down shut off the water supply, remove the toilet flapper and visit your local plumbing supply store to purchase a suitable replacement. Install the new flapper, turn on water supply.

These illustrated instruictions may also assist:

http://www.danco.com/HowTo/How-To-Replace-a-Toilet-Flapper

Although less likely, if the sealing surface of the flush valve is damaged or detioriated proceed with replacement of the flush valve. Again turn off water supply and follow the instructions set out here:

http://www.danco.com/HowTo/How-To-Replace-a-Flush-Valve

If there is not a leak in to the toilet bowl and the water flow does not shut off completely, then water is flowing through the fill valve and the overflow pipe and you may need to adjust the float and float rod to allow clsoure of the fill valve. See here:

http://www.danco.com/HowTo/How-To-Replace-a-Float-and-Float-Rod

The Kohler Cimarron is one of the most popular and reliable toilets out there. (My Favorite). However, depending on the hardness of the water and if you use cleaner tabs in the tank, these factors can lead to a malfunction.
The first thing you should do is hold the flapper (rubber seal inside the tank that releases the water down to the bowl) down with your hands for a few seconds after a flush and see if the toilet stops running. Sometimes the flapper doesn't seal properly therefore the fill valve keeps working non stop. Stopping the fill while holding the flapper down will confirm that your flapper needs to be changed.
If this doesn't work then try this....
The other common problem with a running toilet is with the fill valve itself. There is an attached float on the fill valve that goes up and down depending on the water level. Once the water level rises, it rises the float, and the float tells the fill valve to stop filling the tank. While the toilet is running (hissing), try raising the float all the way up with your hand and see if it stops. If it stops but not consistently with every attempt, then you will need to change the fill valve. I believe the Fluidmaster 400A is the replacement model.

First make sure it is not overfilling. The water level must stop before it reaches the overflow pipe. If it continues to run it will overflow into the bowl and continue to run. Adjust the fill level to the mark inside the tank. Make sure nothing is getting under the flapper and holding it open. You replaced the flapper so we know that is not the problem. Just make sure the flapper is centered on the drain hole.

if it worked fine and now it has stopped....then there is no adjustment that will fix it. If the fill valve is not shutting off you either need to replace the seal in the valve or get a new fill valve. If the water is leaking past the flapper you will need a new flapper.

need to replace the flapper

I suggest that you replace the cap with the new seal, it sounds as tho the valve is not shutting off and the bowl fill tube continues to run. Have you adjusted the water level to 3/4 of an inch below the overflow tube. If not, try that.