Grid adaptation is a very useful method for applications with unstructured meshes but requires dynamic load-balancing for efficient parallel computation. In this study, a parallel 3D compressible Navier-Stokes code with adaptive hybrid meshes (epHYBRID) and parallel adaptation procedure (pADAPT) have been developed on GeoFEM parallel platform. The DRAMA library has been integrated into the pADAPT module to solve the load-balancing problem. The entire code system has been evaluated under various types of conditions on Pentium clusters and Hitachi SR2201. Results show that DRAMA library provides accurate load-balancing for parallel mesh adaptation in pADAPT and excellent parallel efficiency in the Navier-Stokes computations in epHYBRID.