[1] He attended Ironi Alef High School and studied law at the Hebrew University in the academic reserve program of the Israel Defense Forces.

[4][5] Libai began his professional career in the office of Minister of Justice Pinchas Rosen, in charge of the amnesty department and as spokesman for the Ministry.

During his tenure, the State Control Committee appointed the Bejski Commission to investigate the bank stock crisis of 1983.

As Minister of Justice, he initiated three national inquiry commissions: concerning the 1994 Cave of the Patriarchs massacre, the Yemenite Children Affair, and Rabin's assassination.

[3] In 1997, he was hired to defend Samuel Sheinbein, an Israeli-American who fled the United States and sought Israeli citizenship after committing murder.

[9] He also represented former Israeli President Moshe Katsav against rape charges, but later resigned as his attorney, claiming he had taken the case only when he believed it was a blackmail attempt.