The suit states that police at the mine have responded violently to people entering the mine.
The lawsuit claims that Barrick "has had effective and practical control" over Tanzanian police stationed at the mine, and that the company's security agreements with the police effectively make them the mine's "private and heavily armed security force."
The plaintiffs in the claim, filed at the Superior Court of Justice in Ontario, include relatives of five men killed by Tanzanian police assigned to the mine, according to the filing. Nine of the plaintiffs were themselves beaten or shot by the police, according to the filing.
A Barrick Gold spokesperson said the company received the Statement of Claim earlier on Wednesday.
"It is riddled with inaccuracies," she wrote in a response to Reuters questions. "We intend to vigorously defend against these allegations in the appropriate forum."
The Barrick spokesperson said the lawsuit "attempts to advance claims against Barrick Gold Corporation in Ontario based on alleged actions of the Tanzanian police, even though Barrick exercises no control or direction of any nature over the Tanzanian police".
North Mara, in northwest Tanzania around 30 kilometers (18 miles) from the border with Kenya, produced 260,000 ounces of gold last year.
The police commander for the Tarime-Rorya district where North Mara is located did not immediately respond to a Reuters text or calls.
