The placement problem is an important part in the design process of VLSI chips. It is necessary to have a proper placement so that all connections between modules in a chip can be routed in a minimum area without violating any physical or electrical constraints. Current algorithms either do not give optimum solutions, are computationally slow, or are difficult to parallelize. PIREN(copyright) is a parallel implementation of a force directed algorithm which seeks to overcome the large amount of computer time associated with solving the placement problem. Each active processor in the massively parallel SIMD machine, the MasPar MP-2.2, can perform in parallel the computation necessary to place cells in an optimum location relative to one another based upon the connectivity between cells. This is due to a salient feature of the serial algorithm which allows multiple permutations to be made simultaneously on all modules in order to minimize the objective function. The serial implementation of PIREN(copyright) compares favorably in both run time and layout quality to the simulated annealing based algorithm, TimberWolf3.2$\sp\copyright$. The parallel implementation on the MP-2.2 has a speedup of 4.5 to 58.0 over the serial version of PIREN$\sp\copyright$ running of the VAX 6320, while producing layouts for several MCNC benchmarks which are of the same quality as those produced by the serial implementation.