The Israeli team, who had lost to Minsk by a 10-point margin in the reverse fixture at home, got off to strong start and led by as many as 8 points in the opening quarter.
But Tsmoki-Minsk balanced proceedings in the second frame and the two opponents traded blows until the start of the final stanza, which Holon entered leading by just 53-51.
Chris Johnson drilled a triple 4:27 from the final buzzer and Fr?d?ric Bourdillon followed up with another three-pointer to give Holon a double-digit lead, 71-61.
But Aliaksei Trastsinetski replied with a trey of his own and Minsk unleashed a final assault which brought them within two points, 73-71.
With just 19 seconds left on the clock, Minsk point guard Toms Leimanis came up with a steal but before the Belarusian team had a chance to tie the scores or even go ahead, Guy Pnini intercepted a careless pass and drew a foul, sealing Holon's win from the stripe.
Johnson paced the winners with 22 points and 4 rebounds while C.J. Harris chipped in with 18 points and 5 assists. Rahozenka finished with 15 points and 3 rebounds for Minsk in defeat.