The Philadelphia 76ers sank the most threes by a team in a 1980 NBA Finals game, with 1 three-pointer versus the Lakers on May 10, 1980.

nba team most 3 pointer in a finals game 1980
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TEAMDATESEASONSERIESTMOPPRESULT3PMMINPTSREBASTSTLBLKTOVFGMFGAFG%3PA3P%FTMFTAFT%PF
Philadelphia 76ersPhiladelphia 76ers5/10/19801979-80NBA FinalsPHIPHIvsLALLAL
L
101-111
1240101373412813459348.4425.0101758.825
StatMuse has team, game-level data for three-pointers going back to the 1980 Finals.