We implement a supersymmetric model of relativistic BCS (Bardeen-Cooper-Schrieffer) superconductivity. Understanding how superconducting phase transitions can take place in supersymmetric field theories in full detail is of great interest, in particular, to clarify how supersymmetric theories react upon the introduction of chemical potential. Other motivations include providing a field-theoretical understanding of the possible mechanisms underlying holographic superconductivity, and possible applications in real condensed matter systems containing fermion and scalar quasiparticle excitations.