The meeting, which took place at the Madison Square Garden in New York, ended 4-0 in favor of the hosts.
Hat-trick was marked by Mika Zibanejad, another washer on the account of Ryan Strome.
Russian Rangers goalkeeper Igor Shesterkin issued a shut-out, reflecting all 38 shots on his goal.
Tampa goalkeeper Andrei Vasilevsky saved 17 shots out of 21.
Earlier it was reported that Panarin got into the NHL coronavirus protocol.