"We emphasized that when an investigation is underway we don't want to go through the usual government to government channels, which can take so long," said French Interior Minister Bernard Cazeneuve after a meeting with representatives from the US tech giants.
"It's important to have full cooperation and quick reaction" he added.
Cazeneuve's one-day visit to San Francisco and Silicon Valley comes weeks after terrorist attacks in Paris left 20 people dead, including three gunmen.
A third gunman killed a policewoman January 8 and then killed four more people a day later after taking hostages at a kosher supermarket in Paris. Police killed the three gunmen.
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Twitter and Facebook spokespeople said they do everything they can to stop material that incites violence but didn't say whether they would heed the minister's request for direct cooperation with French authorities.
"We regularly host ministers and other governmental officials from across the world at Facebook, and were happy to welcome Mr. Cazeneuve today," a Facebook spokesperson said.
When asked whether Twitter would work closely with French investigators, a spokesperson said their website outlines the guidelines for law enforcement to request information.
"We review all reported content against our rules, which prohibit direct, specific threats of violence against others," the spokesperson wrote in an email.
An email to Google requesting comment was not immediately answered.
Cazeneuve said he called on the tech companies to join in the fight against terrorist propaganda disseminated on the internet and to block terrorists' ability to use websites and videos to recruit and indoctrinate new followers.
"I told them we can figure this out together, we can come up with counter-terrorism speech and block these sites that are enticing the most vulnerable members of our society to commit terrorist acts," he said.
France also is pushing to treat jihadi material on the Internet like child porn, a task that before the attacks in Paris was getting scant traction but now seems to have caught the attention of Europe's top security officials.