Mark Warburton's Rangers side are due to face their Glasgow rivals Celtic in the Old-Firm derby at the weekend.
Griffiths tops Celtic’s goalscoring charts this season, after smashing in 37 goals in 48 matches.
The Scottish international striker has been in fine form, and he will have to be watched very closely in the upcoming Old-Firm derby.
Rangers and Celtic are due to meet at Hampden Park on Sunday, and although Tavernier is an admirer of Griffiths’ talents, he is confident of keeping the former Wolverhampton Wanderers man quiet.
"We've kept clean sheets in the past two games so that's given us a platform but it's going to be tough,” Tavernier said.
“He’s [Griffiths] is a goal machine but I'm sure we've got a good enough defence to stop him.”
Rangers go into the derby match as the outsiders to pick up a victory, given that they currently play in a lower division than their Glasgow rivals.
The Light Blues do, however, have momentum on their side as they have won the Scottish Championship title and the Petrofac Challenge Cup in recent weeks.
Celtic, meanwhile, have struggled to show their top form this season, and even though they appear set to win the Scottish Premiership, manager Ronny Deila is still under pressure.
Deila’s contract at Parkhead is due to expire at the end of the season, and if Mark Warburton’s side are victorious at the weekend, it would be very unlikely that he will be offered new terms.