This paper describes two approaches to the implementation of distributed simulation currently being pursued at Texas A&M University. The first approach describes the design and the implementation of a distributed simulation system onto a Motorola 68000 based architecture. This approach involves transparently distributing the language support functions of an existing simulation language (GASP) onto multiple processors. The second approach discusses the implementation of simulation support software in a high level distributed processing language. This approach involves the distribution of portions of the simulation model which can be executed in parallel onto multiple processors by the model builder. The paper discusses the details of both the approaches and the current status of their implementation.