  We report on a search for second generation leptoquarks with the D\O\
detector at the Fermilab Tevatron $p\bar{p}$ collider at $\sqrt{s}$ = 1.8 TeV.
This search is based on 12.7 pb$^{-1}$ of data. Second generation leptoquarks
are assumed to be produced in pairs and to decay into a muon and quark with
branching ratio $\beta$ or to neutrino and quark with branching ratio
$(1-\beta)$. We obtain cross section times branching ratio limits as a function
of leptoquark mass and set a lower limit on the leptoquark mass of 111
GeV/c$^{2}$ for $\beta = 1 $ and 89 GeV/c$^{2}$ for $\beta = 0.5 $ at the 95%\
confidence level.
