Central Air Conditioner Repair
This problem can be caused by an air conditioning system sized too large for the house. A way to tell if this is the root cause is if your air conditioning system has always had a problem adequately dehumidifying your home, and commonly short cycles (turns on and off frequently). If so, then an oversized system is the likely cause.
An overly large system will cool the air so fast that not enough of the humid air has made its way across the cooling coil to get dehumidified. Once...MORE the thermostat setting shuts off the air conditioning because it has reached the desired temperature, there may still be too much humidity in the air.
The only real solution is to replace the condensing unit and coils with a properly sized system. You can also try to increase the cooling load artificially, such as by air conditioning your garage or basement space with additional ductwork.