CP violation in $B\to \mathrm{\Phi }{K}_S$ in a model III 2HDM

The mixing induced time dependent CP asymmetry, direct CP asymmetry, and branching ratio in $B\to \mathrm{\Phi }{K}_S$ in a model III 2HDM are calculated, in particular, neutral Higgs boson contributions are included. It is shown that satisfying all the relevant experimental constraints, for time dependent CP asymmetry $S_{\varphi K}$ the model III can agree with the present data, $S_{\phi k}=-0.39\pm 0.41$,withinthe$1\sigma$ error, and the direct CP asymmetry which is zero in SM can be about $-8$ in the reasonable regions of parameters.