An elbow prosthesis constructed in accordance to one example of the present teachings can include a capitellar implant having an articulating head and a stem. The articulating head can have a first articulating surface positioned generally between a lateral side and a medial side. A passage can extend through the articulating head from the lateral side to the medial side. The articulating head can define a counterbore formed at the lateral side and that is concentric with the passage. According to other features, the elbow prosthesis can include a coronoid implant that has a body and a stem. The body can have a superior articulating surface that includes a central ridge and an anterior buttress. The central ridge can be configured to accommodate articulation with a trochlea in an implanted position.