Denmark defender Andreas Christensen equalized for his team with a header in the 68th.
Mbappe scored four goals when France won the World Cup four years ago, including one in the final. He now has 31 goals for France, moving him one ahead of Just Fontaine — the all-time leading scorer at a single World Cup with 13 goals at the 1958 tournament.
He joined another France great, playmaker Zinedine Zidane, with 31 goals. Zidane scored twice in the final when France won its first World Cup against Brazil in 1998 and one goal when Les Bleus lost in the 2006 final to Italy on penalty kicks.
“There are different types of leaders,” Deschamps said. “Mbappe’s a leader, he sets the example with what he shows on the field.”
France beat Australia 4-1 in its opening game while the Danes drew 0-0 with Tunisia. The Aussies beat Tunisia 1-0 earlier Saturday.
“We’re in an ideal position. It makes you feel very calm to be qualified after two games,” Deschamps said. “There’s a strong chance we’ll finish first in the group.”
No other defending champion had made it out of the group stage since 2002 champion Brazil managed to advance four years later. Italy, Spain and Germany all were eliminated early four years after winning their titles.
The first time the French won the World Cup, they also went out early four years later.
With Ballon d’Or winner Karim Benzema missing from the tournament with a leg injury, Mbappe has taken charge. He has 14 goals in his past 12 games for France, including three so far in Qatar.
“Mbappe played a great match,” Denmark coach Kasper Hjulmand said. “He’s a fanastic player, that’s it.”
The Danes beat France twice this year in the Nations League but looked tame in attack at Stadium 974 — on the rare occasions they even got near France’s penalty area.
“We knew if would be a tough match. We had lost twice to them before,” Griezmann said. “We worked hard and we worked well together. So it was a great win for us.”
VARANE’S RETURN
Central defender Raphael Varane returned to France’s defense for his first game since sustaining a hamstring injury playing for Manchester United on Oct. 11. The 2018 World Cup winner made his 88th international appearance and played 75 minutes before being replaced.
THURAM’S LEGACY
Forward Marcus Thuram came on in the second half as his father, Lilian Thuram, watched from the stands. The elder Thuram was a standout defender who helped France win its first World Cup in 1998.
WHAT’S NEXT?
The final Group D games are scheduled for Thursday when France will play Tunisia and Australia will face Denmark.