The company is in violation of their rental agreement according to the lawsuit. According to the lawsuit, the landlord claims that it's owed $136,260 for rent at 650 California Street.
The space is located in the financial district of San Francisco and is separate from the company's headquarters in San Francisco. A notice of default was sent to the tech company on December 16 and it had five days to pay the debt.
The social network did not immediately respond to the request for comment.
According to the lawsuit, the contract states that the required amount must be paid within a certain time frame. The pending litigation was not commented upon by a ColumbiaREIT spokesman.
The New York Times reported last month that there had not been rent payments for weeks due to mass layoffs and budget cuts. Sources told The Times that Musk asked his team to either change the terms of the lease agreements or end them.
The outlet said that the San Francisco headquarters and other global offices had not been paid rent for weeks. The New York Times reported that the office space in San Francisco was reduced from four floors to two.
The company didn't pay a bill for private charter flights in the week after Musk took over.
According to a report in November, Musk told employees that if they didn't make more money, they would have to file for bankruptcy.
Since taking ownership of the company, Musk has laid off more than half of the employees.
In an interview with George Holtz last month, Musk talked about the finances of his company and compared it to a plane that is headed towards the ground at high speed with the engines on fire. He said he spent the last five weeks cutting costs.