  Two new bands have been identified in $^{137}$Nd from a high-statistics
JUROGAM II gamma-ray spectroscopy experiment. Constrained density functional
theory and particle rotor model calculations are used to assign configurations
and investigate the band properties, which are well described and understood.
It is demonstrated that these two new bands can be interpreted as chiral
partners of previously known three-quasiparticle positive- and negative-parity
bands. The newly observed chiral doublet bands in $^{137}$Nd represent an
important support to the existence of multiple chiral bands in nuclei. The
present results constitute the missing stone in the series of Nd nuclei showing
multiple chiral bands, which becomes the most extended sequence of nuclei
presenting multiple chiral bands in the Segr\'e chart.
