Determination of effective transport properties of droplet-hydrogel composites is essential for various applications. The transport of ions through a droplet-hydrogel composite subjected to an electric field is theoretically studied as an initial step toward quantifying the effective transport properties of droplet-hydrogel composites. A three-phase electrokinetic model is used to derive the microscale characteristics of the polyelectrolyte hydrogel, and the droplet is considered an incompressible Newtonian fluid. The droplethydrogel interface is modeled as a surface, which encloses the interior fluid. The surface has the thickness of zero and the electrostatic potential ζ . Standard averaging procedures are used to derive the effective governing equation for the current density that captures the macroscopic behavior. The results show that the polymer boundary condition has a modulating impact on the electrical conductivity, and the influence of the boundary condition decreases as the interior fluid viscosity increases. At the limit of the polymer's no-slip boundary condition, the interior and exterior fluids' viscosities, Brinkman screening length, and ionic strength have a significant impact on the conductivity. Interestingly, it should be possible to determine the ζ -potential for a droplet-hydrogel composite from measurements of the electrical conductivity with the aid of the formula derived for the conductivity. Finally, the theoretical study for determining the response of droplet-hydrogel composites to an imposed pressure gradient is undertaken, and it is found that the polymer boundary condition has a modulating impact on the response.A. Mohammadi ( )