He played Mayor Douglas Hamilton on NCIS: New Orleans in a recurring role and starred as Sergeant First Class Dennis Worcester in Hamburger Hill (1987).

[6] Weber graduated from Manhattan's High School of Performing Arts (1979) and the State University of New York at Purchase.

[7] After leaving college, he became a member of the Mirror Repertory Company and appeared opposite legendary actress Geraldine Page and Mason Adams in "Paradise Lost"[8] before winning a role as Julianne Moore's ill-tempered and ill-fated boyfriend on the CBS daytime drama As the World Turns in 1985–1986.

He appeared in four Stephen King adaptations: Desperation (2006), "You Know They Got a Hell of a Band" from the Nightmares & Dreamscapes (2006) mini-series, ”Revelations of Becka Paulson” from the “Outer Limits” revival series, and in the television mini-series version of Stephen King's The Shining (1997), playing the murderous writer Jack Torrance.

The same year, Weber played the role of network boss Jack Rudolph in the NBC series Studio 60 on the Sunset Strip.

In 2008, Weber starred in Alliance Group Entertainment's feature film Farm House, where he played Samael, a mysterious vineyard owner.

He was part of the cast of the ABC show Happy Town and had a major role in the television film A Fairly Odd Movie: Grow Up, Timmy Turner!

[10] In 1995, he became engaged to Juliette Hohnen,[11] then the Los Angeles bureau chief for MTV News,[12] and they married on July 29 that year at Highclere Castle in Berkshire, England.