An LED lamp assembly includes LED circuit boards having LEDs as light sources, and concave parabolic lens surfaces as light condensing surface to replace convex lens surfaces having been conventionally used for LED light sources as well as to allow the LED circuit boards to be deposited at sites where is so well air ventilation that heat generated thereby is dissipated rapidly to ensure good heat dissipation for the LED circuit boards; and a reflective LED searchlight comprises the LED lamp assembly as an essential component and features a good heat dissipation for its LED circuit boards.