The lawsuit filed Friday in the District of Columbia Circuit Court of Appeals claims the Environmental Protection Agency exceeded its authority and abused its discretion in setting the rules announced in August.
President Barack Obama's Clean Power Plan seeks to slow climate change by cutting carbon dioxide emissions nationwide by 32 percent over the next 15 years. It calls for states to come up with plans by 2017 to meet individual reduction targets.
Those targets vary from state to state.
Wyoming Gov. Matt Mead says in a statement that the federal rule is flawed. Wyoming also will file its own petition with the EPA over state-specific issues.