This thesis is based on the following paper [10]. As a natural continuation of the work done in [8]. in this thesis the bifurcation diagrams are provided for the global phase portraits in the Poincaré disk of all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields. So in this work the bifurcation diagrams are given for the global phase portraits in the Poincaré disk of all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields. We say that two vector fields on the Poincaré disk are topologically equivalent if there exists a homeomorphism from one onto the other which sends orbits to orbits preserving or reversing the direction of the flow. In [9] the global phase portraits of all Hamiltonian planar polynomial vector fields with only linear and cubic homogeneous terms having a linear center at the origin are given by the following main theorem of [10].