We analyze risks andd present the requirements of digital multisignature in electronic contract systems where several persons contract a digital document electronically. We also apply a few digital multisignature schemes that have been developed so far, to the electronic contract system and propose a new digital multisignature scheme based on the Fiat-Shamir scheme. We investigate how these schemes satisfy with the requirements and evaluate their efficiency in terms of processing speed. communication complexity, and message length Owing to the high processing speed and the high degree of satisfaction to the requirements, the proposed scheme is suitable for electronic contract systems.