There is disclosed a tripod head for mounting a device to be held (such as an illumination device) to a support base at an adjustable angle of depression or elevation. The tripod head is designed to avoid increase in size of a mounting member that supports the device to be held. Furthermore, hand fingers are prevented from entering an arc-shaped groove formed in a disk used to adjust the angle of the held device; otherwise, the fingers would be injured. The tripod head permits a mounting member 3, which is used to hold the device 10 to be held, to be mounted on a support base 2 such that the angle of depression or elevation of the device can be adjusted. The mounting member 3 has a mounting shaft 32 mounted to the support base 2. The mounting shaft 32 extends horizontally through the support base and is rotatably pivoted to it. The mounting shaft has a front-end portion extending through the support base. A disk 33 is mounted to the front-end portion. An arc-shaped groove 35 located about the axis of the mounting shaft is formed in a peripheral portion of the disk. A threaded rod 24 stands upright from the support base and is inserted in the groove. The threaded rod has a threaded portion in its front end. A nut 45 having a handle 46 is threadedly inserted over the threaded portion. The fringes of the groove in the disk can be tightened and secured to the support base.