Vice News condemned the charges as "baseless" and an attempt to censor coverage, while leading rights groups have called for the immediate release of the reporters.
The two British reporters and their translator, an Iraqi national, have been charged with "engaging in terror activity" on behalf of the Islamic State extremist group, the court in Diyarbakir said.
A fourth suspect, their driver, was allowed to go free, an AFP correspondent reported from the court.
Vice News, an Internet-based channel which produces in-depth video reports, has named the two British journalists in a statement as Jake Hanrahan and Philip Pendlebury.
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It also said that while sources initially said they were detained for filming without government accreditation, they had then been accused of supporting the IS group.
They have now been taken to a jail in Diyarbakir ahead of an eventual trial. There were no further details on the evidence of their alleged links to IS jihadists.
The reporters were detained last week covering unrest in southeast Turkey which has raged as the government presses a military offensive against Kurdish rebels.
The four men, including the driver, had been held in police custody since their detention last week.
Reports said that they were arrested after police. Acting on a tip-off, confiscated footage shot during their reporting. All have denied the accusations in the presence of their lawyers.
"Today, the Turkish government has levelled baseless and alarmingly false charges," said Kevin Sutcliffe, head of News Programming Europe for Vice News.
He said in a statement that the charges were an "attempt to intimidate and censor their coverage".
"We continue to work with all relevant authorities to expedite the safe release of our three colleagues and friends," he added.