By treating the hopping parameter as a perturbation, with the help of cumulant expansion and the resumming technique, the oneparticle Green's function of a spin1 Bose system in a honeycomb optical lattice is calculated analytically. By the use of the resummed Green's function, the quantum phase diagrams of the system in ferromagnetic cases as well as in antiferromagnetic cases are determined. It is found that in antiferromagnetic cases the Mott insulating states with even filling factor are more robust against the hopping parameter than that with odd filling factor, in agreement with results via other different approaches. Moreover, in order to illustrate the effectiveness of the resummed Green's function method in calculating timeofflight pictures, the momentum distribution function of a honeycomb lattice spin1 Bose system in the antiferromagnetic case is also calculated analytically and the corresponding timeofflight absorption pictures are plotted.