It is safe to freeze cooked crab meat. According to the Virginia Institute of Marine Science, portions of the cooked meat should be stored in sealed freezer bags at a temperature between 0 and -5 degrees Fahrenheit.
Cooked crab meat can be frozen in several different ways, including while the crab is still whole and the meat is still in the shell, after the crabs have been cleaned and separated into bodies, legs and claws, and after the meat has been removed completely from the shells. Crab meat, even cooked, spoils quickly, so it should be frozen as soon as it cools to room temperature. To thaw the meat for a recipe, place it in the refrigerator overnight or force thaw it in the sink under cold running water.