A two-conduction band lattice Anderson hamiltonian is studied by the Slave-Boson technique and the functional integral method. The electronic density of states (DOS) of the system as well as low temperature thermodynamic quantities are obtained under the saddle point approximation. The results show that a pseudo-gap structure in DOS appears near the Fermi level due to the f-c hybridization and the coherence effect, and the low temperature thermodynamic quantities of the system possess the heavy-fermion properties.