The present invention provides a method for screening inductive promoting substances of anti-viral proteins such as IFN-.beta. against LPS stimulation or viral infection by using TBK1 knockout mice, or the tissues or cells derived therefrom. The present invention also provides a method for screening substances promoting responses against LPS stimulation or viral infection which may comprise the steps of measuring/estimating the induction level of anti-viral proteins such as IFN-.beta. against ligands recognized by TLR4 or substances containing thereof in mice wherein a part or a whole of TANK binding kinase-1 (TBK1) genes on its chromosome is deleted and is lacking the function to express TBK1 which is expressed in wild-type, or the tissues or cells derived therefrom; by using the mice, or the tissues or cells derived therefrom, a test substance, and the ligands recognized by TLR4 or substances containing thereof.