Red Bull's world champion Vettel, who finished second on Sunday behind Nico Rosberg, said of the opening laps in Monaco: "You expect two silver arrows and there were two buses going for a cruise".
Hamilton, who switched to Mercedes over the winter, told Press Association news agency he didn't appreciate the analogy.
"He has had the fastest car for the last four years, so it's easy for him to say that. He's got it easy," said the Briton.
"We are making our way up, we are learning, growing, improving with a car that has great potential, so I don't agree with him."
Hamilton was more reluctant to talk about the furore caused by Mercedes' 'secret' tyre test, insisting he has to focus instead on getting up to speed with the on-form Rosberg.
"I just have to focus on myself and try and get my act together," he said.