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The patents relate to a processor used to expand compressed video signals and another for computer networking.
Intel filed the lawsuit in August 2000, seeking $82m (£56m) in damages.
Intel and Broadcom have battled before over patents. Earlier this year, an administrative law judge for the US International Trade Commission ruled that Broadcom's networking chips infringed two patents held by Intel.
Last month, Broadcom filed a patent infringement lawsuit against Intel, claiming that Intel had violated two graphics-related patents.
Intel said it has not decided whether to appeal against the decision. "We're disappointed by the ruling and we respectfully disagree with the finding," said Intel spokesman Chuck Mulloy.
Broadcom may not be in the clear, however. The judge in the case split the August 2000 lawsuit into two complaints, one of which has yet to be heard. "There are still three patents that remain to be tried; that will happen sometime next year," Mulloy said. "We are going to begin preparations for the next phase in the case."
The next phase will deal with three patents on digital video chips and packaging, as well as counterclaims by Broadcom.