  The effect of the electroweak sphaleron transition in balance between baryon
excess and and the excess of stable quarks of 4th generation is studied in this
paper. Considering the non-violation of $SU(2)$ symmetry and the conservation
of electroweak and new charges and quantum numbers of the new family, it makes
possible sphaleron transitions between baryons, leptons and 4th family of
leptons and quarks. In this paper, we have tried to established a possible
definite relationship between the value and sign of the 4th family excess
relative to baryon asymmetry. If $U$-type quarks are the lightest quarks of the
4th family and sphaleron transitions provide excessive $\bar U$ antiquarks,
asymmetric dark matter in the form of dark atom bound state of ($\bar{U}
\bar{U} \bar{U}$) with primordial He nuclei is balanced with baryon asymmetry.
