Anderson sent a letter to Benjamin Netanyahu on Wednesday urging him to support the legislation. If passed, it would make Israel the first country in the world to impose a national fur clothing ban.
More than 40 lawmakers have endorsed the bill, promoted by the Israel-based International Anti-Fur Coalition. Netanyahu previously has expressed views sympathetic with the animal rights movement.
In her letter, Anderson said the way animals "suffer and die for fur violates Jewish principles." She added that by passing the bill, "Israel would set an example of compassion for the rest of the world to follow."
Some two weeks ago, the Canadian-American star remarried her ex-husband Rick Salomon, and chose to spend their first vacation together as newlyweds in Israel. The couple spent the first night of their honeymoon at a Jerusalem hotel before moving on to the lowest place on earth for a dip in the Dead sea.
Pictures show that 16 years after parting with her red "Baywatch" swimsuit and with her new pixie short haircut, the 46-year-old actress and model is still in top form.
Anderson kept the visit quiet, but did not hide her famous smile as she arrived at the Dead Sea's Biankini Beach.
The Canadian-American star, who has already visited Israel twice, once as a guest on "Dancing with the Stars" in 2010 and five months later for an anti-fur campaign,
Anderson and 36-year-old Salomon were first married from 2007 to 2008. Salomon, a film producer, is best known for his past relationship with Paris Hilton and the famous sex tape they filmed together, which was "leaked" onto the Internet.
Shay Arzuan contributed to this report