This paper proposed a model supporting secure mechanism both group communication service and subgroup communication service of TETRA system that the standard developed by the technical committee Radio Equipment and Systems(RES) of the European Telecommunications Standards Institute(ETSI) provides a pure digital information technology for the transmission of speech and data. In each scheme, members in a subgroup maintains its subgroup key, which is not distributed, but computed by each member in the subgroup only with his own secret information and public values and secure subgroup members in a same subgroup can communication securely each other by using their subgroup key. Also, all members in group can share securely a group key. In communication services of TETRA system, this model supports mechanism for both group and subgroup communication are simultaneously needed.