2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92266We are continuing here the study of generalized coherent states of Barut-Girardello type for the oscillator-like systems connected with the given set of orthogonal polynomials. In this work we construct the family of coherent states associated with discrete $q$-Hermite polynomials of the II-type and prove the over-completeness of this family of states by constructing the measure for unity decomposition for this family of coherent states.15pages, no figuresQuantum Physicstext