My 2003 Honda CR-V makes a vibration when holding a steady speed between 30-40 MPH. It does not make the vibration when accerlating. Honda dealer told me it was the tires, which I took back to my tire dealer and checked balance and alligment which were fine.

Sounds like you need a alignment. If thats not it When have you had your struts looked at?

Beginning of CV joints going bad

Here is the info

NOTE: The ignition key must not be on prior to the cold start otherwise the heated oxygen sensor diagnostic may not run.

1. As soon as the engine starts, idle the engine in drive for two and a half minutes with the A/C and rear defrost on. OBDII checks oxygen sensor heater circuits, air pump and EVAP purge.

2. Turn the A/C and rear defrost off, and accelerate to 55 mph at half throttle. OBDII checks for ignition misfire, fuel trim and canister purge.

3. Hold at a steady state speed of 55 mph for three minutes.

OBDII monitors EGR, air pump, O2 sensors and canister purge.

4. Decelerate (coast down) to 20 mph without braking or depressing the clutch. OBDII checks EGR and purge functions.

5. Accelerate back to 55 to 60 mph at half throttle. OBDII checks misfire, fuel trim and purge again.

6. Hold at a steady speed of 55 to 60 mph for five minutes.

OBDII monitors catalytic converter efficiency, misfire, EGR, fuel trim, oxygen sensors and purge functions.

7. Decelerate (coast down) to a stop without braking. OBDII makes a final check of EGR and canister purge.

Swap the front tires to the back and see if this is a possible tired related problem like a tire cord separating

is it AWD? if so have the rear diff fluid replaced, its special fluid from the honda dealer, the rear diff may be bad.

My immediate quick test would be to move the front tires to the back (and backs to front, of course) then try it out. If the vibration is still there but feels like it's coming from somewhere else (vibration could feel like it's in in steering wheel or seat), you've got a broken belt or bent rim (wheel). Don't want to get your hands dirty? Get all 4 wheels balanced -5 to 10 bucks per wheel.

well i would check tires balance and i would check drive line some time the center suport bearing gos out will make car vibrates hope this helps

This is your one of your axels.. they are damaged inside.. Get them removed asap it can cause major damage if it brakes loose..each axle costs about $90-100

check out harmonic balancer .

I would check the throttle position sensor