A variable displacement wobble plate compressor with a guide unit for a wobble plate, having a cylindrical guide rod axially extending in the compressor in parallel with a compressor drive shaft, a slide slidably and rotatably fitted on the guide rod and provided with lateral pivots on laterally opposite sides thereof which extend in a direction at a right angle to the axis of the guide rod, and a pair of shoes pivotally engaged with the pivots of the slide and slidably received in a radial recess formed in a lowermost portion of the wobble plate. Each of the shoes has a semi-cylindrical outer face complementary with a semi-cylindrical concave wall of the radial recess of the wobble plate so as to permit a relative turning of the wobble plate to the shoes. The slide and shoes may have oil passageways and/or oil grooves.