We present the results of a search for charged Higgs in the decay products of ${\rm t{\bar t}}$ at the CDF II detector at the Tevatron. The search is based on the cross section measurements of ${\rm t{\bar t}}$ production in three exclusive decay channels: dilepton, lepton + jets and lepton + hadronic tau. Assuming the charged Higgs decays only via $H^+ \to {\rm c}{\rm \bar {s}}$, and $H^+ \to \tau {\bar \nu}$, and $H^+ \to {\rm t}^\ast {\rm b} \to {\rm Wb}{\rm \bar {b}}$, limits in the MSSM (mHiggs, tan(β)) plane are obtained at tree level. A model-independent analysis is introduced in which the results are independent of Higgs branching ratios. This analysis results in BR(t→Hb)<0.7 at 95%CL for 80 GeV<mHiggs<150 GeV.

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