We present a search for charged Higgs bosons in decays of top quarks, in the mass range 80 < m_{H^{\pm} < 155 GeV, assuming the subsequent decay $H^{+} \to \tau^{+} \nu_\tau$ (and its charge conjugate). Using 0.9 fb$^{-1}$ of lepton+jets data collected with the D0 detector at the Fermilab Tevatron $p\bar{p}$ collider, operating at a center of mass energy $\sqrt{s}=1.96$ TeV, we find no evidence for a $H^{\pm}$ signal. Hence, we exclude branching ratios $B(t \to H^+b) > 0.24$ for m_{H^{\pm}=80 GeV, and $B(t \to H^+b) > 0.19$ for m_{H^{\pm}=155 GeV, at the 95% C.L.

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