As a child, Ivgy appeared in several television and film productions. Since graduating from acting school she has appeared in several critically acclaimed films. She also received the nomination for her role of Tikva Ida in the drama, The Barbecue People based around a picnic celebrating Israeli Independence day.
She also appeared in the critically acclaimed film, Broken Wings.
A year later she appeared in Amos Gitai"s French-Israeli film, Disengagement about a mother"s search for the child she abandoned, amidst the disengagement on the Israel Defense Forces in Gaza. In 2009 she reunited with Yedaya and Elkabetz for Jaffa, a Romeo & Juliet-inspired drama about an Israeli Jewish girl and an Israeli Arab boy who have conceived a baby and conspire to marry each other, before tragedy interrupts their plans.
Her depiction of the pregnant protagonist led to another Best Actress nomination from the Israeli Film Academy. She shared this nomination with her work in Haiu Leilot alongside her father, Moshe Ivgy.
Ivgy has also established a theatre company and is currently writing and directing a short film.