Massport has filed a lawsuit this week against a car-sharing company that allegedly is operating an illegal car rental business at Logan International Airport without permission from the agency.

In a 32-page lawsuit filed Monday, Massport alleges that Turo — a California-based company that allows car owners to rent out their vehicles — is refusing to stop its car rental services at the airport despite Massport’s two cease-and-desist letters.

Massport spokeswoman Jennifer Mehigan said the lawsuit is necessary because Turo “continues to violate Massport’s regulations by operating without a rental car concession agreement” at Logan.

“The company is not paying state and local taxes and fees or following the rules and regulations at Logan as other rental car companies do,” Mehigan said in a statement to the Herald. “The taxes and fees not only serve the city of Boston and Commonwealth, but help Massport be financially self-sufficient as is required.”

All rental car companies at Logan must enter an agreement with Massport and are assessed various fees for every rental transaction, which the agency says generates more than $80 million. Companies also pay a $0.60 municipal fee per transaction for the city of Boston — which totaled approximately $775,000 last year — and a Municipal Police Training fee of $2 per transaction — which went into effect Jan. 1 and is expected to generate $2.6 million this year.

Massport said Turo’s sprawling operations at Logan began in July 2013 under a different company name with just 30 cars. By 2018, Massport said Turo advertised it has more than 200 cars available at Logan on a daily basis.

“From 2013 to 2018, the number of vehicles available for rent at Logan on Turo’s website grew substantially,” attorneys for Massport wrote in its lawsuit. “Turo drivers have been observed leaving cars at Logan, both curbside at the terminals and in airport parking lots.”

According to the suit, Massport notified Turo in an April 2016 letter that the company is not in Massport compliance and will need to enter a rental car agreement. Massport said it received a letter a week later from the car-sharing service that it was not operating at Logan Airport and as such, “will not be applying for a permit.”

Massport, which owns and operates Logan, sent the company two cease-and-desist letters to “not undertake any vehicle rental activity at (Logan), including advertising the availability of any such vehicles at (Logan),” according to the suit.

The agency said it saw increased congestion on Logan’s roadways and at the terminals, and other rental car companies it has agreements with were negatively impacted by Turo’s “unpermitted operations.”

“The defendants do not pay the fees and charges assessed to their competitors, and they offer their customers pickup at terminal curbsides, parking lots or other locations which their competitors are unable to access,” according to the suit.

Massport said Turo continues to disregard its cease-and-desist letters. The agency is asking the court to enter “preliminary and permanent injunctions” ordering the car-sharing platform to stop its operations at Logan without authorization from Massport.

Steve Webb, a spokesman for Turo, said in a statement to the Herald it is “disappointed” to learn that Massport “caved into pressure … and sued Turo.”

Webb scoffed at Massport’s assertion that Turo is a rental car company and “is wasting taxpayer dollars while depriving consumers of choice and economic opportunity. … At a time when more and more Bay Staters are struggling to make their car payments, it would have been preferable for everyone involved to support, not fight to curtail peer-to-peer car sharing.”