A tiltable mount comprises a stationary base member or base and a support member or support for supporting equipment thereon. The support is movably mounted to the base to enable the support to tilt omnidirectionally relative to the base while remaining rotationless relative to a vertical axis through the base. The base and support have mating spherical surfaces, with the concave spherical surface of the base including a guide shaft and the convex spherical surface of the support including a conical aperture for receiving the shaft. The shaft and aperture form a pivotable connection between the two members. A lock for maintaining a selected tilt to the support comprises the guide shaft and a lever attached to the shaft to press the support against the base sufficiently to prevent relative movement therebetween. The lever is threadedly attached to the guide shaft and may include a nut assembly having a nut and a lever arm removably mated to the nut assembly for repeated rotary movement of the nut.