"We're not going to do that", Brown told reporters at the National Press Club in Washington, D.C.
In an April 4 memo to the secretary of Homeland Security and the attorney general, President Donald Trump said the troops were needed to curb drugs, gangs and illegal crossings on the US border with Mexico.
"The other three Republican governors have a political affiliation I don't share", said Brown, a Democrat. He spoke Tuesday about ways the liberal state is challenging Trump. Apparently, to avoid outright rejection of Trump's authority, Brown sought to finesse California's response.
Jerry Brown has pledged 400 troops to the effort by Trump to send up to 4,000 troops to the border.
Trump signed a proclamation directing the Defense Department to assist the Homeland Security Department by providing security on the border, Lengyel said.
Trump's fight with the state thawed for a moment last week after Brown agreed to send 400 members of the guard to help along the border.
His comments come after federal officials told the Associated Press on Monday that Brown would send troops to the border, but California's troops would not perform immigration enforcement duties. "But I think we can find common understanding here".
But Brown didn't back away from his restrictions on what the Guard would be allowed to do. "Is trying to stop drug smuggling, human trafficking and drugs going to Mexico to go the cartels? Try to catch some desperate mothers and children or unaccompanied minors coming from Central America, that sounds like something else". "That sounds to me like something else".
The president took to Twitter Wednesday to claim that a "revolution" is taking place in the state with many areas wanting to break from California's sanctuary state law which bars officials from cooperating with federal immigration enforcement.
The Trump administration has made pressuring so-called sanctuary cities a top priority.
The George W. Bush administration deployed National Guard troops to the border in similarly supportive roles for two years in 2006 to allow the training of new border agents.
Jenkins - after noting that San Diego County joined Orange County and more than a dozen cities in opposing the sanctuary policy - asked Brown if the law "favors the rights of criminal illegal aliens over the rights and the safety of those communities".
The Democratic governor cast his decision as a welcome infusion of support paid for by the US government to fight transnational criminal gangs and drug and firearms smugglers.
"At the present time (...) we do not see the need to formulate that demand", he said.
"Let's be honest. There's a lot of politics in this on all sides", he said, accusing Fox News of "exploiting" the issue of illegal immigrants committing crimes.