A movable platform system for performing workover tasks on a wellhead includes a platform base with a base wellhead access gap at its front end. At least one track is fixed to the upper surface of the platform base and extends from the rear of the platform base to a position near the rearward edge of the base wellhead access gap. A platform support frame with a wellhead access gap at its front end is coupled to the track and configured for movement along the length of the track. An upper platform is connected to the platform support frame and also has a platform wellhead access gap at its front end. The three wellhead access gaps at the three levels of the platform system are substantially aligned when the movable platform support frame is disposed and locked in the working position above the wellhead. Workers on the upper platform have access to equipment surrounding the wellhead.