A court in California has started selecting jurors for the case.
Both companies filed suits covering their main models, including Apple’s iPhone 5 and Samsung’s Galaxy S3.
US-based Apple says the South Korean firm infringed 5 of its patents, including one for the “slide-to-unlock” function that allows users to operate their phones by swiping the screens.
Samsung says Apple infringed 2 patents for transmitting visual and audio data.
The tech giants have been locked in legal battles around the world over intellectual property rights.
About a month ago, the court ordered Samsung to pay Apple 930 million dollars for patent infringement.