An integral LED light fixture for installation in an incandescent light bulb socket includes a housing with a forwardly-extending portion and peripheral outer walls defining a recess, a rearwardly-extending socket base to be screwed into an incandescent light bulb socket, electrical components including a printed circuit board having a set of LEDs, and a lens for covering the printed circuit board and being attached to the housing. The integral LED light fixture cover can also be installed in a junction box. An AC version is also provided which lacks the driver component and the driver cover.