For the multi-dimensional non-homogeneous scalar conservation law, the case of general source term $g(t,u)$ is much harder than the case of variable separatable source term as $g^(u)$. In this talk, we will present and discuss the expression of global smooth Cauchy solutions and Riemann solutions of multi-dimensional non-homogeneous scalar conservation law with general source term $g(t,u)$, and discuss some new properties and structures of global solutions comparing with the case of the source term with the form as $g^(u)$.