We study the quasinormal modes for scalar and electromagnetic perturbations in a Generic-class of magnetically charged regular black hole that contain the Bardeen-class, Hayward-class, and a New-class solutions. First, the critical values of the charge and mass are obtained. We also described the horizons and the extremal condition of the Generic-class solution. Using the third-order WKB approximation, we can determine the dependence of the quasinormal modes on the parameters of the regular black hole. We have computed the greybody factors and partial absorption cross-section, giving transmission and reflection coefficients of the scattered wave through the effective potentials in the third-order WKB approximation using numerical analysis.