The subcritical advanced burner reactor (SABR) concept, which combines IFR-PRISM fast reactor technology and the ITER tokamak fusion physics and technology in a burner reactor for the transmutation of transuranics, has been adapted for a subcritical advanced breeder reactor (SABrR) that produces plutonium. It is found that basically the same fission and fusion technology, geometry, and major parameters as used in SABR can be used to achieve a significant fissile production rate (fissile breeding ratio ≈ 1.3) while maintaining tritium self-sufficiency (tritium breeding ratio >1.15).