World number one Djokovic, the 2011 champion, destroyed French 28th seed Jeremy Chardy, 6-3 6-2 6-2 in just 86 minutes yesterday.
He fired 38 winners, eight aces and committed just three unforced errors.
"I felt very confident to step onto the court and everything went my way," said Djokovic after his 50th career grasscourt win.
"I haven't lost many points on my service games. I did everything I wanted to do. I enjoy it very much when everything works well. It's a fantastic feeling."
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But 13th-seeded Haas beat the Serb star in Miami this season and also got the better of him in the Wimbledon quarter-finals in 2009.
Women's defending champion Serena Williams was equally ruthless taking just over an hour to carve out a 6-2, 6-0 win over Japanese 42-year-old Kimiko Date-Krumm.
It was the 600th win of Williams's career as the American continued her gentle cruise towards a sixth Wimbledon title and 17th Grand Slam crown.
"Wow, 600 wins. I had no idea. What better place than under the roof at Centre Court to achieve it," said the 31-year-old American.