The Briton, leading a Mercedes one-two, came ahead of team mate, Nico Rosberg.
The race finished behind a safety car, after Max Verstappen’s Toro Rosso suffered an engine failure on the start-finish straight with two laps remaining for the leaders.
But it had been a routine afternoon at the head of the field otherwise.
The Mercedes pair pulled clear of Sebastian Vettel’s Ferrari at the start and managed the race perfectly to ensure there would be no repeat of the German’s stunning win in Malaysia last time out.
Four-time world champion Vettel finished ahead of Ferrari team mate Kimi Raikkonen to claim a third podium in as many races since joining the Italian team from Red Bull at the end of last season.