Two conforming VEM-FEM Hessian complexes in three dimensions are constructed in this work. The degrees of polynomials in both complexes are 5 for H2-conforming VEM, 4 for H(curl; S)-conforming VEM and 3 for H(div; T)-conforming FEM. Three polynomial complexes for tensors are present, including Hessian polynomial complex, divdiv polynomial complex and elasticity polynomial complex. The H(curl; S)-conforming VEM is constructed based on the H2-conforming VEM and the H(div; T)-conforming FEM, by using the idea of the direct sum decomposition of polynomial space for symmetric tensors.