Acad Sinica, Inst High Energy Phys, Beijing 100039, Peoples R China
; Henan Normal Univ, Dept Phys, Xinxiang 453002, Peoples R China
We solve the BS equation for the hybrid mesons with heavy quacks under instantaneous approximation. The kernel is chosen as the sum of a one-gluon-exchange potential and a linear confining potential. The equations are solved by the numerical method, and the spectrum of hybrid mesons b (b) over bar g and c (c) over bar g is obtained.