An exact solution of a single impurity model is hard to derive since it breaks translation invariance symmetry.We present the exact solution of the spin-1/2 transverse Ising chain imbedded by a spin-1 impurity.Using the hole decomposition scheme,we exactly solve the spin-1 impurity in two subspaces which are generated by a conserved hole operator.The impurity enlarges the energy deformation of the ground state above a pure transverse Ising system without impurity.The specific heat coefficient shows a small anomaly at low temperature for finite size.This indicates that the impurity can tune the ground state from a magnetic impurity space to a non-magnetic impurity space,which only exists for spin-1 impurity comparing with spin-l/2 impurity and a pure transverse Ising chain without impurity.These behaviors essentially come from adding impurity freedom,which induces a competition between hole and fermion excitation depending on the coupling strength with its neighbor and the single-ion anisotropy.