Norris has failed to lead the first lap of every grand prix that he has started in pole position, but finally dismantled this unlucky statistic in Singapore.
Lewis Hamilton followed the title rivals in third, but found no way past the Red Bull as his Mercedes fell out of DRS range.
All the drivers managed to get off the line without incident, staying away from the barriers around the street circuit.
However, Carlos Sainz followed a disastrous qualifying with a terrible start in Singapore, falling out of the top ten and taking the escape road alongside Fernando Alonso.
Sergio Perez, who exited qualifying in Q2 on Saturday, capitalised on the Spaniard's error and charged his way up into the top ten just behind the Williams of Franco Colapinto in P9.
The Argentinian's more experienced team-mate Alex Albon, however slipped down the order into P15, and delivered a furious team-radio message after Colapinto 'divebombed' into Turn 1, blaming him for tumbling down the field.