There are many consumers in distribution networks, which have rapid changes in the reactive power consumption. These changes can result in considerable variations in the load-side voltage and can effect the operation of other power consumers which are connected to the Point of Common Coupling (PCC). In this paper a current control strategy for Distributed Generation (DG) inverters based on Sigma Delta Modulation (SDM) is proposed. The proposed interface is called Sigma-Delta based Current Controlled Voltage Source Inverter (Σ∆_CC_VSI), which can control the active and reactive power independently and has a fast voltage regulation. The proposed Σ∆_CC_VSI reduces the harmonics amplitude and consequently, ElectroMagnetic Interference (EMI) problems.