The British driver headed a one-two for the Brackley-based outfit as colleague Nico Rosberg finished second to make it four podiums from four this year.
It was the first time during his Formula 1 career that Hamilton has won three races in a row, and he feels that Mercedes have a lot of early-season momentum behind them as they seek titles on both fronts.
"The fans have been incredible this week and they gave me lots of energy," he told reporters post race. "All the hard work from the team has paid off and I just can't believe how amazing the car is and it's testament how hard everyone's been working.
"I am really happy Nico is up here with us too it's great rewards for the team. This team is on a roll they have done a great job, we aim to keep moving forward and improving and I hope it can continue."
Ferrari's Fernando Alonso completed the top three at the Shanghai International Circuit.