In 2005 Givaty was a part of a small group of well-known young adult television hosts who received the “Best Teen Show of The Year” from the Israel Golden Screen Award (Masah Hazahav) for hosting the show Exit on Arutz 10. Shortly thereafter, Givaty became a big name in the Israeli entertainment industry and received many large company endorsements.

A year later Givaty decided to explore her work options in Los Angeles. Upon her arrival, she quickly landed the lead role in a film called The Passage starring opposite Stephen Dorff. In 2007, the movie premiered at the Toronto International Film Festival where critics called Givaty’s performance “star making”.

In 2008 she played a Russian spy in the pilot episode of My Own Worst Enemy next to Christian Slater. In 2009, she was back in Israel to shoot yet another comedic role in TV series called The Pilot Wives.

In 2010, it was announced that Givaty would portray Mossad Officer Liat Tuvia for two episodes in the eighth season of NCIS. Then-executive producer Shane Brennan elaborated on the character’s role in the story arc, saying that Liat’s presence would leave series regular Ziva (Cote de Pablo), a former Mossad agent, feeling replaced “personally and professionally”. In an interview after the first episode aired, Givaty commented, “Let’s just say, Liat is a good guy at the end of the day. It’s just that her ways are different. Like, she doesn’t say ‘Drop your weapon’ before she shoots a terrorist. She just shoots him and says ‘Drop your weapon’…So, yeah, she has her way, but at the end of the day, she’s a good guy.”

In 2013, she appeared in The Expendables 3 alongside Mel Gibson and Robert Davi.

Givaty married Israeli businessman Or Luboschits on September 5, 2014. In 2015 they had a baby son. The three reside in Tel Aviv, Israel.