I install a honeywell thermostat heat works but the air dose not

What model honeywell. What type system do you have, conventional, heat pump, electric. What wires were hooked to what spots on old thermostat, and what wires did you connect spots on new stat. Let us know a little more about this and we will do our best to get you back in ac.

You wired wrong
After you make sure the breaker is on and that there is power at the a/c unit
Recheck the instructions that came with the honeywell, then check them again
Get back to us with model number of the honeywell and furnace/airhandler,, maybe we can help