A two-part joint replacement device for replacing damaged soft joint tissue, such as a meniscus or cartilage tissue. In one form, the device may include a free floating soft joint tissue replacement component comprising a first tissue-interface surface shaped to engage a first anatomical (bone and/or cartilage) structure of a joint having damaged soft tissue. The device may also include a free floating rigid base component comprising a second tissue-interface surface shaped to engage a second anatomical (bone and/or cartilage) structure of the joint. The free floating soft joint tissue replacement component may be shaped to slidably interface with the rigid base component. In another form, the free floating soft joint tissue replacement component and the rigid base component are fixed together.