The Warren Abstract Machine is the state of the art in implementation technology for Prolog. Its success is based on an instruction set that supports unification, clause selection, and the management of variable binding environments. Prolog is a sequential programming language, and many of the operations of the WAM rely on the standard, depth-first execution order of Prolog programs. This paper introduces OM, a virtual processor for parallel logic programs. The processor is being designed so that a collection of OM processors will be suitable for a large scale, non-shared memory multiprocessor. Some of the features of the WAM, such as instructions for unification, are present in OM, but other aspects, such as control instructions and the management of binding environments, have been redesigned to support programs of an abstract parallel execution model.