Zibanejad made it 1-0, 2-0 and 4-0 and was assisted on all occasions by Chris Kreider.
When he made it 4-0 at the end of the second period, it rained caps on the ice, a tradition ("hate" trick) in the NHL.
The double reigning champion Tampa Bay, led by star defender Victor Hedman, is in a slump and lost for the third straight match.
The audience in "Garden" had not been able to see their team play since December 17 after postponed matches due to the covids infection.