Cupertino, California-based Apple says Motorola is purposefully using its touchscreen software, as well as other display technologies.
"Motorola's infringing activities have caused and will continue to cause Apple irreparable harm, for which it has no adequate remedy at law, unless Motorola's infringing activities are enjoined," Apple said in a nine-page filing on Friday with the U.S. District Court for the Western District of Wisconsin.
Schaumburg, Illinois-based Motorola said it has not yet reviewed Apple's filing, but that it intends to "pursue our litigation to halt Apple's continued infringement."
"Motorola has a leading intellectual property portfolio, one of the strongest in the industry, and we intend to vigorously defend ourselves in this matter," the company said in a statement to Reuters.
The case is Apple Inc vs. Motorola Inc, 10-CV-662.
The suit comes after Motorola sued Apple in Delaware court earlier this month, asking a judge to declare it is not infringing on certain Apple software patents.