The fifth-seeded Indo-Czech combo took just 74 minutes to outplay their opponents 6-2 6-4.
Paes and Stepanek, who had won the Australian Open title earlier this year, dominated from the word go in the quarterfinal match here last night.
Even as the Austrian-Slovak duo failed to earn a single breakpoint, Paes and Stepanek converted two of the five breakpoints to walk away with the match comfortably.
The Indo-Czech pair will next take on the sixth seeded Spanish combo of Marcel Granollers and Marc Lopez, who had defeated Bruno Soares of Brazil and Austria's Alexander Peya 6-3 6-4.