Bronx-born actress and director Penny Marshall — famed for her sassy character on the TV classic “Laverne & Shirley’’ — has died, her publicist confirmed to The Post on Tuesday.

Marshall, 75, succumbed to complications from diabetes at her home in Hollywood Hills on Monday night, rep Michelle Bega said.

“Our family is heartbroken over the passing of Penny Marshall,” the family said in a statement. “Penny was a girl from the Bronx who came out West, put a cursive ‘L’ on her sweater and transformed herself into a Hollywood success story. We hope her life continues to inspire others.”

The comedic actress had reportedly been battling serious health issues off and on since around 2009, when she was diagnosed with lung cancer that then spread to her brain.

Marshall was best known for her 1970s and ’80s on-screen antics as beer-bottle capper Laverne DeFazio opposite quirky co-star Cindy Williams, aka Shirley Feeney.

Marshall went on to direct such flicks as “Big,” “Awakenings” and “A League of Their Own.”

She and her family, including late director brother Garry Marshall, grew up in Bronx, New York, at one time across the street from the man she would later marry, actor and director Rob Reiner.

“When Rob Reiner and I were children, we lived across the street from each other. We never met because the Grand Concourse was a busy street, and we were too young to cross it,’’ Marshall told The Post in 2012.

“He went to PS 8, I went to 80. He moved when he was 7. His father, Carl, was one of the stars on ‘Your Show of Shows,’ and he was the most famous person in the neighborhood. He was also known for giving out the best Halloween candy.”

She married Reiner in 1971, and the pair divorced 10 years later.

Marshall’s family hailed her contribution to the entertainment industry in its statement, saying, “As an actress, her work on ‘Laverne & Shirley’ broke ground featuring blue-collar women entertaining America in prime time.

“She was a comedic natural with a photographic memory and an instinct for slapstick.”

The statement added, “Penny was a tomboy who loved sports, doing puzzles of any kind, drinking milk and Pepsi together and being with her family.”

A version of this story appears on NYPost.com.