An analytical model has been developed using fluid theory to study the propagation of highfrequency electrostatic surface wave along the dust void boundary. Fluid equations, which govern the formation of stable dust void, are suitably coupled with Maxwell's fourth equation (for electrostatic limit) to obtain the linear dispersion relation under suitable boundary conditions. The study contains two situations where the excitation of the surface wave takes place along the void boundary (interface) due to the propagation of ion acoustic (IA) and dust ion acoustic (DIA) waves as well as the ion acoustic and dust acoustic waves in the void and dusty plasma region respectively. The linear dispersion relations in both the cases worked out to be complex in nature for wave frequency much higher than collisional frequencies between various plasma species. Special wave modes, namely the symmetric and asymmetric modes are identified in the first case. However, in the second case, surface wave modes identified have the real component of wave frequency varies linearly within small wave vector k ( ) range and thereafter saturates to a constant value for large wave vector range. Dependence of surface wave frequency on plasma parameters is also investigated and significant results are highlighted.