According to the conventional network evolving towards ISDN, various connection types may be existed in the networks and subscriber-network interfaces. For this reason it is necessary to study the signalling conversion algorithms and the implementation models. In this paper, after surveying the signalling conversion method between the ISDN subscriber and the conventional network, the signaling conversion algorithms are proposed. Based on this algorithms the matching system is designed and developed. Also the validity of this system and the utility of designed software and hardware functions are verified through experiments.