A rotatable camera has a motor, a lens unit comprising a photographing head and a driving rod coupled to the photographing head, a spherical bearing support for pivotally mounting the photographing head, and a rotatable disc driven in rotation motion by the motor to drive the driving rod of the lens unit move along a spiral shaped locus, and, when the motor is driven, the photographing head is at the same time driven by the driving rod to rotate and change its angular position, so that the rotatable camera employs only a single motor to drive the photographing head of the lens unit to rapidly move to the direction to be monitored, particularly, due to no time delay any corners shall be monitored by the rotatable camera.