He was an active member of the Bnei Akiva youth movement (which he led), and served in the Israeli Armored Corps in a Nahal programme.

He graduated from Bar-Ilan University with a BA in Judaism and Bible, as well as a teaching certificate and worked as a teacher.

Hammer was first elected to the Knesset in 1969 as a member of the National Religious Party.

[1] At age 61, Hammer was diagnosed with cancer and died in office on 20 January 1998, leaving a wife and four children.

The "MishkeNot Zebulon" neighborhood in eastern Netanya is named after him as well as a neighborhood in the Ma'ale Michamsh settlement Several streets are named after him in Israel - in the neighborhood where he lives in Bnei Brak ("Zevulon Hamer Boulevard"), Givat Shmuel, Gedera, Petah Tikva and Kiryat Motzkin.