Meaning “gift Of Jehovah” Or “dwelling Of Honor,” Zeb Is A Boy’s Name Of Hebrew Origins. A Short Name That Zips Off The Tongue, Zeb Takes A Biblical Name And Transforms It Into A Trendy 21st-century Name. Zeb Is A Variation Of Zebedee And Zebediah. If You’re Looking For A Modern-sounding Name With Religious Connotations, Look No Further Than Zeb.