There is vibration in dash board in my car Honda Accord 1986 model MT when it is idle and when it starts moving , the enging is fine how this vibration problem can be solved ?

engine mounts

2002 4cyl stalls out after revving in park - Drive Accord Honda Forums

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Jan 25, 2012 - After driving around all day and what ever, I noticed the car idling funny, gave it ... It's almost as if it's not automatically giving it enough fuel after the RPMS ...Mine will do this if I accidentally hit the gas in park when I'm getting ... 03 EX V6 Accord -- Vibration at Idle?? Help.. - Drive Accord ...
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moving or not?
sure related.
but moving or not, is a big deal. here.
if brakes set and it vibs in drive , that is engine misfire,
engine shakes,
ever tune up the engine this decage or at last 60k miles?

week or bad battery
bad starter

Seems like the coolant temperature sensor is giving the computer erroneous readings, and it is not adjusting the fuel mixture properly for cold engine operations. You should have the check engine light on, indicating this malfunction. The idle fluctuations are normal. The engine is trying to die, from the improper cold mixture, and the computer (ECM), recognizing low idle speed, is sending it back up. Another possibilty is that the butterfly on the throttle body is not closing completely, to allow richer mixture needed for cold starts.

It may be caused by a vacuum leak, make sure to check all your hose for cracks and/or hoses that may have popped off

It sound like a starter or selinoid problem or just the starter relay or fuse you will need to have starter tested and if okay then move on to your relay and fuses to see if any of them are bad.

sticking valves. the short run of the engine free's them enough to enable runnig

1986-1989 Honda Accord with Carburetor have a very bad habit that is little known even by most mechanics but easily fixed at home. The vacuum port on the choke opener that is connected to the intake manifold and both vacuum ports on the fast idle unloader get plugged up with nasty hard carbon almost as hard as metal. When this happens the choke sticks closed and the idle sticks on fast idle when the engine is cold and nobody can figure out why. All you have to do is attach a small drill bit to the end of a flexible socket-driver extension and put it in a variable speed drill that will let you run it real slow and carefully drill out the vacuum ports that are plugged. After they are nice and clean use a vacuum pump tester to make sure the choke opener and fast idle unloader are working before putting it all back together. It's amazing how much better the car runs after cleaning out those ports.

1) It is very possible your engine mounts can be worn, but

2) the vibration you feel may be also due to the idle itself degrading to the point that the car is shaking. Does the engine sound like it is getting ready to die? what is the engine rpm when you feel the vibration? You may just have a dirty throttle body. In this case, clean the throttle body plate and bore and the problem will go away.

3) did the problem seem to come on suddenly or gradually, if gradually, you may just need some plugs and/or wires, and/or cap/ignition rotor, etc. (a tune up)

4) Also, do you only feel the vibration when the AC system is on?

5) there are some other reasons for abnormal engine vibration at idle, but the above are some of the most common, and simpler to repair.

All the best with the repair!