The lawsuit filed Wednesday is the latest in a string of legal challenges by California Attorney General Xavier Becerra against the administration on environmental actions.
He and New Mexico Attorney General Hector Balderas say the new rules will ensure cleaner air.
The regulations require natural gas and oil producers to update equipment and take other actions aimed at stopping methane leaks. They also say companies must pay royalties on leaked gas.
Opposition from energy companies and several states, including Wyoming, has prompted the U.S. Department of the Interior to delay pieces of the rule. The postponed pieces are not set to take effect until January 2018.
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