A rodent trap includes a base, a trigger mechanism and a spring activated snap cover. During operation, a rodent touching the trigger mechanism releases the spring activated snap cover which quickly snaps over the trigger mechanism either enclosing and trapping the rodent or snapping onto the rodent and retaining the rodent by snapping onto the rodent and retaining the rodent between the base and the edges of the snap cover. The snap cover includes rounded edges which fit into flange portions on the base and which aid in retaining the rodent in the rodent trap.