This work focuses on the use of parallel hardware to improve the simulation speed of equation-based object-oriented Modelica models. With this intention,a method has been developed that allows for the translation of a restricted class of Modelica models to parallel simulation code, targeted for the Nvidia Tesla architecture and based on the Quantized State Systems(QSS) simulation algorithm. The OpenModelica Compiler (OMC) has been extended with a new back-end module for automatic generation of the simulation code that uses the CUDA extensions to the C language to be executable with a General Purpose Graphic Processing Unit (GPGPU). Preliminary performance measurments of a small example model havebeen done on the Tesla architecture.