I have a new Kohler Toilet that has a different flushing system from other Toilets. It's about 1 year old now and I'm noticing a Drip noise on the 1st floor under this Toilet. It looks to me like the water level is a little too high and he running down inside of the flushing cylinder in the center of the bowl and you hear a drip on the floor below. How do I adjust the water level not to overflow the center cylinder ??

The flapper at the bottom of the tank is leaking and needs replacement.

Kohler toliets can be a pain to repair. I have found with them that the only thing to do with them is go to a plumbing company, take the model number with you and replace all in the inner parts to it. You will replace the fill valve and flush valve. After I do this on Kohler I don't have anymore problems with them. It should work for you, just make sure they are Kohler parts. Good Luck

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What kind of flush valve is it? kohler.com shows a couple of different towers with their ingenium toilets. Is it a Kohler item or is it a Fluidmaster?
Usually you adjust water height by turning a threaded rod that runs up and down. See page 5 of this pdf

http://www.plumbersurplus.com/pdf/1058802_2.pdf

Found your part: http://www.kohlerserviceparts.kohler.com/AccessoriesInformation.aspx?ServicePartID=f5a368efd5b74bcfae7fa0d0bb69bd39

Check flapper out and adjust water level in tank to proper level. If you get level right and it still does drip it sounds like the flapper is not sealing correctly to shut off water.

Toilet flappers are not to expensive and you can touch it with your hand and if you get a black residue off on your hands that a sign it needs replacing.

This is how it is meant to work!
Short push of lever for small flush, push and hold lever for full flush.

Hi
try to increase the amount of water for each flush .

Sounds like your flapper is leaking causing the water in the tank to lower until it triggers the fill valve. Replace the flapper (they're cheap and wear out easily).

Kohler is correct. The most likely cause of this problem is an obstruction in the common vent stack that both toilets share. When you flush the old toilet it need more air to flush and will get it from the easiest source (your new water saver toilet). First adjust the float level in the old toilet so it won't use as much water or just stick a brick in the tank to take up space.Second, run a snake down the vent stack from the roof to check for obstructions. Birds will sometimes nest in there.

You might want to check the flush cylinder, to see if it has water in it. It has to be water free, that way the air in it, lets it go down easier, during fill up.