In a race of safety cars and surprises, Verstappen's former team mate Pierre Gasly made a first podium appearance in second place for Red Bull-owned Toro Rosso, a rare Honda-powered one-two.
The Finn lapped the six-km Baku street circuit in one minute, 40.495 seconds, just 0.059 seconds faster than team mate and championship leader Lewis Hamilton.
Mercedes set for proper fight with Ferrari in Melbourne
Red Bull's Max Verstappen celebrated his first Formula One pole position at the Hungarian Grand Prix on Saturday.
Ferrari presented the SF90 with plenty of fanfare at their Maranello factory.
Mercedes's brilliant pitstop strategy spoiled the game for Max Verstappen in Hungarian Grand Prix, says Rediff's F1 columnist Raja Sen.
Valtteri Bottas won the Azerbaijan Grand Prix on Sunday and retook the Formula One lead from team mate Lewis Hamilton after a fourth successive one-two finish for Mercedes.
'The phenomenal Max Verstappen was both sloppy and superb in Germany, getting caught out during the first two starts, and even spinning his car around to give the crowd something to gasp at with a Batmobile-esque 360 degree turn. 'After Hamilton crashed and Verstappen sniffed victory, though, he pounced hard, put his foot down, and took a deserved race win,' says Rediff's F1 columnist Raja Sen.