The result, coupled with Armenia’s failure to beat Romania, secured four-time world champions Germany a berth at the World Cup for the 20th time; only Brazil has made more appearances with 21.
“We are very happy that we got through qualifying. And now of course we want to continue that by winning the World Cup next year,” said Chelsea striker Havertz.
“For Germany, the main goal is always to lift the trophy.”
Monday’s win was Germany’s seventh win in this World Cup qualifying campaign, their only defeat to North Macedonia earlier this year.
Havertz shot into an open net for Germany’s first goal in 49 minutes, before Werner grabbed two goals in quick succession: a powerful shot after a flipped pass from Thomas Muller and a curling attempt from the edge of the North Macedonia territory.
The 18-year-old Musiala then rounded the score with a calm end – his first goal for Germany.
“We can’t get ahead of things,” said midfielder Leon Goretzka.
“We have to keep growing as a team, but we are on the right track to get back to the top of the tree in world football. And with Hansi Flick, we have the right coach to do just that.” .”
After winning the fourth World Cup in 2014, Germany were knocked out early in the 2018 edition of the tournament and failed to make it past the group stage.