A three-degree-of-freedom parallel mechanism with curved sliding pairs includes a fixed platform, a moving platform, and three curved branches disposed between the fixed platform and the moving platform. Each of the curved branches includes a first curved link and a second curved link that share a common arc center. One end of the first curved link is connected to fixed platform by a rotational pair. One end of the second curved link is disposed in a cavity at another end of the first curved link. The second curved link is operative to perform a reciprocating motion along a tangent of an arc of the first curved link. Another end of the second curved link is connected to the moving platform by a ball joint. The axes of the three rotational pairs of the three curved branches coincide with each other and are perpendicular to the fixed platform. In the three-degree-of-freedom parallel mechanism with curved sliding pairs, the moving platform of the parallel mechanism is rotatable around the X-axis, Y-axis, and Z-axis of a three-dimensional coordinate system taking the arc center of the three curved branches as the origin, where the rotation of the moving platform about the Z axis is decoupled from the rotation in the other two orientations.