Lucien Favre's side have now scored 63 goals at this stage, a feat achieved only by Bayern Munich and Hamburg in the 1973-74 and 1981-82 campaigns respectively.
Dortmund achieved the record with relative ease as they beat Eintracht Frankfurt 4-0 on Friday night, with Lukasz Piszczek, Jadon Sancho, Erling Haaland and Raphael Guerreiro among the goals as Favre's men moved to second in the Bundesliga table.
The win saw them overtake RB Leipzig on goal difference, with both sides on 42 points. They remain one point behind leaders Bayern, who take on Koln on Sunday after Leipzig host Werder Bremen on Saturday.
Defender Piszczek opened the scoring just after the half hour mark with his first goal for the club since November 2018, becoming the second oldest player after Christian Worns to find the net in the Bundesliga for Dortmund this century .
England international Sancho then found the bottom corner early in the second half for his 12th goal in his last 14 games in all competitions.
The 19-year-old now has 13 goals and 13 assists in the league this season, already matching his Bundesliga goal contributions from all of the last campaign.
Fellow teenager Haaland then tapped home inside the six yard box five minutes later for his eighth Bundesliga goal, meaning he has now scored nine goals in his first six games for Dortmund in all competitions since joining from RB Salzburg in January.
The Norwegian has also been breaking records this season , becoming the first player to score eight goals in his first five Bundesliga appearances. His latest effort means only eight players have scored more goals in Germany's top flight in the current campaign.
Both Sancho and Haaland have been drawing high praise for their performances this season, with the former heavily linked with a move to the Premier League this summer .
The latter had also been tipped for a move to England's top-flight, but instead opted to move to Germany, where he has been already been named as the Bundesliga Player of the Month for January, despite starting his opening two games on the bench.