Finding the evolution of two level Hamiltonian is of great importance in
quantum computation and quantum precision manipulation due to the requirement
of quantum experiment control. However, the Schr\"odinger equation of an
arbitrary time-dependent two level Hamiltonian is hardly solvable due to its
non-commutativity Hamiltonian in different times. In this article, we expand
and demonstrate an exact solution of Schr\"odinger equation respect to general
two level systems with a few limitations. This analytical solution has lots of
manipulative parameters and a few boundary restrictions, which could drive many
applications. Furthermore, we show the adaptive capacity of our scheme, which
demonstrated the widely use of our scheme, and make it suitable for most of
experiment Hamiltonian directly