The κ-εmodel has become the most popular of the turbulence models and is often used in many calculations of flow of practical interest. Various low Reynolds number κ-ε models have been proposed ; however, they are not able to correctly represent the budget of the turbulent energy equation near the wall. This paper presents an improved two-equation model with a correct asymptotic near-wall behavior. A new equation of ε^^[=ε-2ν(√∂<κ>/∂y)2] is proposed instead of the conventional one for ε itself. Moreover, the pressure diffusion π*κ is introduced in the κ equation and a new term-ε^^ε^^/κ is employed in the ε^^ equation. The improved model is tested against the channel flow, the pipe flow and the channel flow with injection and suction on wall surfaces. The results are compared with the ones obtained by direct numerical simulation (DNS). It is found that the present model reproduces well the turbulent quantities obtained by the DNS.