India, April 4 -- Val Kilmer's family has addressed the Hollywood legend's tragic death at 65. The late actor's daughter, Mercedes Kilmer, 33, and son, Jack Kilmer, 29, expressed their desire to "grieve privately" in a statement shared with People on Thursday.

Remembering Val Kilmer: From Batman Forever to Top Gun, a look at his iconic roles | Photos

The Top Gun star died of pneumonia on Tuesday, April 1, in Los Angeles, Mercedes confirmed to New York Times. Kilmer was diagnosed with throat cancer in 2014 but later recovered, she added.

In Thursday's statement, Kilmer's family said, "Thank you for honoring our extraordinary father's memory. We are so proud of him and honored to see his legacy celebrated. At this time, we would like to ...