Thought to be the next Hepburn-type ingenue, she was nominated for a Tony Award at age 18, playing the title role in The Diary of Anne Frank.

"[4] Strasberg originated the title role in the Broadway production of The Diary of Anne Frank, directed by Garson Kanin, which ran for 717 performances from 1955 to 1957.

Brooks Atkinson wrote that she was "a slender, enchanting young lady with a heart-shaped face, a pair of burning eyes, and the soul of an actress."

[7] Strasberg continued to guest star on TV shows like Westinghouse Desilu Playhouse, Play of the Week (a production of The Cherry Orchard with Hayes), and Our American Heritage.

She was in the cast of the New York City Center production of William Saroyan's The Time of Your Life that played at the Brussels World Fair in 1958.

Strasberg appeared in Sean O'Casey's The Shadow of a Gunman (1958–59) for Jack Garfein alongside members of the Actors Studio; it ran for 52 performances.

Strasberg began to concentrate on television, guest-starring on Dr Kildare, Bob Hope Presents the Chrysler Theatre, Breaking Point, Burke's Law, and The Rogues.

She made The High Bright Sun (1965) in England then went back to TV: Run for Your Life, The Legend of Jesse James (starring Christopher Jones, who became her husband), The Big Valley and The Invaders.

[13] She made Chubasco (1967) with Jones, and did some counterculture movies: The Trip (1967) for Roger Corman, as the wife of Peter Fonda, and Psych-Out (1968) with Jack Nicholson.

; The Streets of San Francisco; Night Gallery; The Young Lawyers; McCloud; Alias Smith & Jones; The Sixth Sense; Assignment Vienna; The Wide World of Mystery; The Evil Touch; Owen Marshall, Counselor at Law; The Rockford Files (twice); and Mannix.

(1973) and the occasional feature like Ternos Caçadores (1970), The Legend of Hillbilly John (1972), and Orson Welles' The Other Side of the Wind (ultimately released in 2018).

[15] She guested on Police Surgeon, McMillan & Wife, Petrocelli, Ellery Queen, Kate McShane, Medical Story, Bronk, and Harry O.

[16] Strasberg had the lead in So Evil, My Sister (1974) and was in Mystery at Malibu (1976), Sammy Somebody (1976), SST: Death Flight (1977), Rollercoaster (1977), The Manitou (1977),Tre soldi e la donna di classe (1977), In Praise of Older Women (1978), The Immigrants (1978), and Beggarman, Thief (1979).

[17] In 1976 she appeared in a short film directed by Lee Grant called The Stronger, based on a play by August Strindberg, which she said reignited her passion for acting.

"[18] Her last performances included the biopic Schweitzer (1990), the action movie Prime Suspect (1990) with Frank Stallone and Il giardino dei ciliegi (1992).

Bittersweet was an autobiography in which she wrote about her tumultuous relationships with her parents and with actors Richard Burton and Christopher Jones, as well as with her own daughter's struggles with a heart defect.

[23] On September 25, 1965, in Las Vegas, Strasberg married actor Christopher Jones, with whom she had appeared in an episode of The Legend of Jesse James.