  We calculate the contributions to the rare B-decays, $B \to X_{s,d} \nu \bar
\nu$, $B_{s,d} \to l^+l^- $ from the unit-charged technipions. Within the
considered parameter space we find that: (a) the enhancements to the branching
ratios in question can be as large as three orders of magnitude; (b) the ALEPH
data of $B \to X_s \nu \bar \nu$ lead to strong mass bounds on $m_{p1}$ and
$m_{p8}$: $m_{p8} \geq 620, 475 GeV$ for $F_Q=40GeV$ and $m_{p1}=100, 400 GeV$
respectively. (c) the CDF data of $B_s \to \mu \bar \mu$ lead to a relatively
weak limit: $m_{p8} \geq 320 GeV$ for $F_Q=40GeV$ and $m_{p1}=200 GeV$.
