Chu was born to a family of influence. His father Chu Huai-ping served as governor of Hupei Province on the mainland and as the secretary-general of the Planning Commission for the Recovery of Mainland China after the government came to Taiwan.
朱邦復出身權貴之家，父親朱懷冰在大陸做過湖北省省主席，政府來台後，曾擔任光復大陸設計委員會秘書長。