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We enlarge the chiral model, the so-called extended Linear Sigma Model(eLSM), by including the low-lying hybrid nonet with exotic quantum numbers$J^{PC}=1^{-+}$ and the nonet of their chiral partners with $J^{PC}=1^{+-}$ toa global $U(3)_r \times U(3)_l$ chiral symmetry. We use the assignment of the$\pi_1^{hyb}= \pi_1(1600)$ as input to determine the unknown parameters. Then,we compute the lightest vector and pseudovector hybrid masses that could guideongoing and upcoming experiments in searching for hybrids.

Masses of vector and pseudovector hybrid mesons in a chiral symmetric model