Harvey Weinstein, the one-time internationally acclaimed Hollywood producer, was extradited to California on Tuesday to face sex-crimes charges, after more than a year of delays because of the Covid-19 pandemic and his health.

Mr. Weinstein, who is serving a 23-year sentence for felony sex crimes in New York, had challenged the extradition, arguing that he wouldn’t receive adequate medical care in a West Coast jail. Last month, a New York judge denied his request, paving the way for Tuesday’s transfer. 

“We will be fighting so that Harvey can receive his needed medical care and of course, so that he can be treated fairly,” a spokesman for Mr. Weinstein said Tuesday. “Due process, presumption of innocence and a fair trial are all still his right.”

A lawyer for Mr. Weinstein didn’t respond to a request for comment.

The Los Angeles District Attorney’s Office declined to comment.

Mr. Weinstein has previously denied all allegations in New York and California.

Los Angeles prosecutors first announced sex-crimes charges against Mr. Weinstein on Jan. 6, 2020, and filed additional charges twice last year. The allegations involve five accusers who alleged rape and sexual assault between 2004 and 2013.

A Manhattan jury in February 2020 convicted Mr. Weinstein of first-degree criminal sexual act, for forcing oral sex on “Project Runway” production assistant Miriam Haley in 2006, and third-degree rape, for nonconsensual sex with then-aspiring actress Jessica Mann in 2013. He was acquitted of the most severe charges, which carried a possible life sentence—two counts of predatory sexual assault for the alleged rape of former “Sopranos” star Annabella Sciorra in the early 1990s.

In April, his lawyers appealed the conviction and requested a new trial.

Write to Deanna Paul at deanna.paul@wsj.com