In this study, by employing all-atom simulations of a model flexible and weak polyelectrolyte hydrogel (i.e., polyacrylic acid) and by explicitly considering water molecules and counterions, we show that deformation of a hydrogel alters counterion condensation around its constituting chains in a deformation-dependent way. The stretched chains of the hydrogel network exhibit a nonmonotonic condensation profile, in which condensation increases at moderate chain stretching and decreases as the chains are strongly stretched. Since the hydrogel tends to preserve its volume under deformation by adjusting the conformation of its constituting chains, both uniaxial compression and stretching manifest themselves as alterations in the total counterion distribution. This effect, in turn, can lead to electrostatic potential by changing the charge degree of the entire hydrogel. Notably, the deformation-induced phenomenon that we observe in our atomistic simulations of single stretched chains indicates that this effect can be generic for weak polyelectrolyte chains as they undergo large extensional conformation changes. Such deformation-dependent effects may be probed by micro-manipulation apparatus (e.g., AFM) or extensional flow fields . Our results also suggest that anisotropic hydrogels (e.g., longer chains in one direction than others) can exhibit a much richer behavior of deformation-dependent condensation profiles. Such condensation responses can be used to tune the permeability of hydrogel membranes or build mecha-electrical systems such as bio-mimetic muscles or sensor applications.