late 13c., "the offering of something (especially a life) to a deity as an act of propitiation, homage, etc.;" mid-14c., "that which is offered (to a deity) in sacrifice," from Old French sacrifise "sacrifice, offering" (12c.), from Latin sacrificium, from sacrificus "performing priestly functions or sacrifices," etymologically "a making sacred," from sacra "sacred rites" (properly neuter plural of sacer "sacred;" see sacred) + combining form of facere "to make, to do" (from PIE root *dhe- "to set, put").
Originally especially of Christ's propitiatory offering of himself for the world. Latin sacrificium is glossed in Old English by ansegdniss. The general sense of "act of giving up a desirable thing for a higher object or to a more pressing claim," also "something given up for the sake of another" is recorded from 1590s.