In a statement obtained by PEOPLE, the family also expressed thanks "for honoring our extraordinary father's memory," two days after his death at age 65

Val Kilmer's family speaks out after the actor's death Tuesday in Los Angeles. Meanwhile, Tom Cruise asks a crowd for a moment of silence in honor of his friend.

Val Kilmer, an actor known for his work in “Top Gun,” “The Doors” and “Batman Forever,” died on Tuesday at the age of 65. Here are some snapshots from his life and career. Cher and Kilmer in 1984, the same year he made his feature debut in the slapstick Cold War spy movie “Top Secret!”

Tom Cruise led CinemaCon 2025 attendees in a moment of silence to honor the late Val Kilmer, who died at 65 on Tuesday, April 1, to begin his presentation at the film industry convention on Thursday,

Val Kilmer, a homegrown Hollywood actor who tasted leading-man stardom as Jim Morrison and Batman, but whose protean gifts and elusive personality also made him a high-profile supporting player, died on Tuesday in Los Angeles. He was 65.

Despite declaring himself cancer-free in 2021, Kilmer’s health had reportedly never recovered from his treatment, which included a tracheostomy.

While tributes pour in for the screen legend, renewed attention has turned to Kilmer's personal life, particularly his relationship with ex-wife Joanne Whalley and their two children, Mercedes and Jack.

"Heat" co-stars Josh Brolin and Robert De Niro, as well as "Top Gun" co-stars Tom Cruise and Danny Ramirez are among those honoring Val Kilmer.