Little was involved in a single-car accident in April, when he admitted to driving 127 mph, WOIO-TV reported on Monday after obtaining records from the Cuyahoga County Sheriff's Department. Little hit a guardrail, knocked down a light pole and left 40 yards of brake tracks.
He was fined $350.
Earlier this week, Little was cited for driving 81 mph in a 60 mph and for driving with expired plates.
Gordon was ticketed last week for driving 98 mph in a 60 mph zone, the TV station reported.
The Browns issued a statement condemning the players' actions.
"We're aware of the situation involving the players and their unacceptable driving records," the statement said. "We take matters such as this very seriously. We've spoken to both individuals, and will address the issue with the entire team."
None of the incidents involved alcohol, the team said.
Attorney Pat D'Angelo, who is representing Little and Gordon, told the station the matters are being resolved.
Little, who is in his third year with Cleveland, has had a strong training camp and has been praised by coach Rob Chudzinski and others for his strong work ethic.
Gordon is suspended from the Browns' first two regular-season games after violating the NFL's drug policy.