Hache was born in Segovia, Castile and León. After majoring in English, she began her career as a stage actress. She performed in several classical plays with director Juan Antonio Quintana’s company at the Aula de Teatro of the Universidad de Valladolid. After four years, she decided to take some free time to travel around the world, and on her return in 2000 played in a self-produced cabaret piece, Todo por la Talanga, el Chou, in which the audience played an active role.

She managed to do comedy monologues in several programs for the Paramount Comedy channel until, in 2003, she won the 4th Monologue Contest from the Comedy Club (El Club de la Comedia). After that, she was hired by producer-company Globomedia, which decided she should accompany Manel Fuentes, conductor of the late night show Fuentes y cia, where she would play a comic reporter. She achieved popularity in the show, which enabled her to participate in other shows, such as Splunge (a comic sketches show), and make punctual appearances as an actress in sitcoms, like the popular 7 Vidas and Casi Perfectos.

In 2009, she was part of the cast of the Spanish adaptation of Saturday Night Live, which also aired on Cuatro. The show was cancelled due to low ratings.

In 2011, she became the main host of stand-up comedy show El Club de la Comedia, on laSexta, the show where she had first risen to prominence.

In 2012 and 2013, Eva Hache presented the 26th and 27th editions, respectively, of the Goya Awards.

In February 2015, Cuatro aired the first episode of candid camera show Guasabi, hosted by Eva; laSexta, owned by Atresmedia, removed her from El Club de la Comedia due to her working for rival group Mediaset. Cuatro cancelled Guasabi after the first episode due to its poor ratings.

In August 2015, Telecinco announced her as one of the judges of talent competition Got Talent España, Spanish adaptation of the international Got Talent franchise. In 2016, she starred in the Spanish adaptation of TV series Web Therapy on #0.