  High-spin states in $^{84}$Rb are studied by using the $^{70}$Zn($^{18}$O,
p3n)$^{84}$Rb reaction at beam energy of 75 MeV. Three high-lying
negative-parity bands are established, whose level spacings are very regular,
i.e., there don't exist signature splitting. The dipole character of the
transitions of these three bands is assigned by the $\gamma$-$\gamma$
directional correlations of oriented states (DCO) intensity ratios and the
multipolarity M1 is suggested by the analogy to multiparticle excitations in
neighboring nuclei. The strong M1 and weak or no E2 transitions are observed.
All these characteristic features show they are magnetic rotation bands.
