  Two- and three-body decays of $\Upsilon (5S)$ into $BB, $$ BB^*, $ $ B^*B^*,$
$ B_sB_s, $ $B_sB_s^*, $ $B_s^* B_s^*$ and $BB^*\pi, B^*B^*\pi$ are evaluated
using the theory, developed earlier for dipion bottomonium transitions. The
theory contains only two parameters, vertex masses $M_{br}$ and $M_\omega$,
known from dipion spectra and width. Predicted values of $\Gamma_{tot}(5S)$ and
six partial widths $\Gamma_k(5S), k=BB, BB^*,...$ are in agreement with
experiment. The decay widths $\Gamma_{5S}(\pi BB^*)$ and $\Gamma_{5S}(\pi
B^*B^*)$ are also calculated and found to be of the order of 10 keV.
