Kevin Sutcliffe, Vice's head of news programming in Europe, said: "This move appears to be a blatant obstruction of the fair legal process that Turkey has repeatedly pledged to uphold.
"We call on the Turkish government to throw out these ridiculous charges and immediately release our colleagues."
Vice said Mr Hanrahan and Mr Pendlebury were both experienced reporters, who had together covered the migrant crisis in Calais, the Scottish referendum, Irish republicanism, and other stories.
Mr Pendlebury had filmed in countries like Iraq, Afghanistan and North Korea, Mr Hanrahan had also written for The Guardian, the Independent, Wired, and Rolling Stone Middle East.