The rotational bands in the neutron-rich nuclei $^{153-157}$Pm are investigated by a particle-number conserving method. The kinematic moments of inertia for the 1-quasiparticle bands in odd-$A$ Pm isotopes $^{153, 155, 157}$Pm are reproduced quite well by the present calculation. By comparison between the experimental and calculated moments of inertia for the three 2-quasiparticle bands in the odd-odd nuclei $^{154, 156}$Pm, their configurations and bandhead spins have been assigned properly. For the 2-quasiparticle band in $^{154}$Pm, the configuration is assigned as $pi5/2^-[532]otimes u3/2^-[521]$ ($K^pi=4^+$) with the bandhead spin $I_0=4hbar$. In $^{156}$Pm, the same configuration and bandhead spin assignments have been made for the 2-quasiparticle band with lower excitation energy. The configuration $pi5/2^+[413]otimes u5/2^+[642]$ ($K^pi=5^+$) with the bandhead spin $I_0=5hbar$ is assigned for that with higher excitation energy.
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