We present a search for charged Higgs bosons in decays of pair-produced top
quarks using 109.2 +/- 5.8 pb(-1) of data recorded from p (p) over bar col
lisions at root s 1.8 TeV by the D0 detector during 1992-1996 at the Fermil
ab Tevatron. No evidence is found for charged Higgs production, and most pa
rts of the [MH+, tan beta] parameter space where the decay t --> H(+)b has
a branching fraction close to or larger than that for t --> W(+)b are exclu
ded at 95% confidence level. Assuming m(t) = 175 GeV and sigma(p (p) over b
ar --> t (t) over bar) = 5.5 pb, for MH+ = 60 GeV, we exclude tan beta < 0.
97 and tan beta > 40.9.