This paper presents two algorithms for optimizing the transmit and receive antenna selection matrices in Multiple Input Multiple Output (MIMO) Device-to-Device (D2D) communications. MIMO antenna selection technique is well-suited for D2D communications since it is relevant to low-cost devices with less Radio Frequency (RF) chains than antennas, and requires low feedback. The proposed algorithms determine the optimal antenna selection matrices, taking into account both direct and interfering MIMO channels, with the distributed Message-Passing (MP) algorithm. A joint and an iterative algorithm are proposed and assessed. The joint algorithm provides large data rates, while the low-complexity iterative algorithm is more efficient than a reference individual transmit antenna selection ignoring interference.