The convective heat transfer from air-cooled rotating heat sink helps to estimate the cooling efficiency of the rotating machines cooled by fins. An experimental work for the effect of eccentric rotating of the finned heat sink on the convective heat transfer from this heat sink is presented in the work. The used heat sink is composed of a copper tube with annular fins and its axis of rotation is parallel and offset to the tube axis. The heat sink is heated at the inner surface of the tube with constant heat flux. The experimental work is performed at different radiuses of rotation, rotational velocities and powers input to the heat sink. The results illustrate that increasing rotational velocity and radius of rotation decreases the temperature of the heat sink. Nusselt number at the heat sink base decreases with decreasing the radius of rotation and rotational Reynolds number. Nusselt number remains approximately constant through the heat sink length at low rotational velocity. At higher rotational velocity, Nusselt number rises with approaching to the center of the heat sink. Nusselt number increases with increasing the rotating axis length