In this article, we propose a frequency-domain passivity-based damping controller combined with predictive current control for LCL-filter-equipped voltage source converters (VSCs) connected to an arbitrary ac network to achieve passive VSC input admittance almost up to the Nyquist frequency. The controller guarantees resonance damping in the corresponding frequency range irrespective of the network impedance seen by the VSC. Resonant current compensation is added to eliminate the steady-state tracking error and to achieve superior disturbance rejection. We have used impedance-based method for the analysis of harmonic resonance instabilities caused by current controllers. The developed passivity-based predictive-resonant current controller is analytically shown to stabilize interactions among multiparalleled VSCs. Resonance damping capability of the proposed method is validated through simulation and hardware experiments.