The invention discloses a fixture for elbows with space curves as axes. The fixture comprises a fixture main body, a supporting and adjusting mechanism and a clamping device. The fixture main body is used for fixing and consists of a fixture body and pressing edges with holes. the pressing edges are arranged at two edges of the fixture body, the fixture body and the pressing edges are integrated, the fixture body is fixed onto a worktable by bolts via the holes at the pressing edges, the supporting and adjusting mechanism consists of sliders, slider supporting guide plates, slide grooves, springs, pressure plates, adjusting bolts and fixing screws, the clamping device comprises screw stems, the screw stems are symmetrically arranged on upper end surfaces and lower end surfaces of the slider supporting guide plates and are connected with the corresponding sliders in a threaded manner, first locking nuts and second locking nuts are arranged at joints of the upper portion of the screw stems and outer end surfaces of the slider supporting guide plates, and V-shaped chucks are disposed at lower ends of the screw stems. The fixture is simple in structure and convenient in use and maintenance, can firmly and reliably compress the elbows with optional space curves as axes, and brings convenience for machining.