Check the thermostat settings. Make sure that your air conditioner thermostat is set to Cool and the temperature setting is low enough to call for cooling.
If you have an electronic thermostat and it has no power, check the house circuit breaker for your air conditioning system. Reset the house circuit breaker if it's tripped.
If resetting the house circuit breaker doesn't restore power to the thermostat, then the thermostat may have failed. Replace the thermostat if it's getting power but won't power up. If you replace the thermostat and the air conditioner still won't work, you'll likely need to have a service technician examine and repair the air conditioner.
If the thermostat works and it set properly but the air conditioner won't turn on, the condensate drain float switch may be tripped because the condensate drain line is clogged and water is backed up in the drain system. Clear the clogged drain line so the float switch resets and allows the air conditioner to run.
Other problems that can prevent the air conditioner from running include a wiring failure, bad thermostat and a faulty electronic control board. A service technician typically needs to diagnose and repair these types of air conditioner failures.