Transformer-less photovoltaic (PV) inverters are more widely adopted due to high efficiency, low cost and light weight, etc. Many novel topologies and their corresponding modulation methods have been proposed, verified and put into use, especially focus on active power injection only without leakage current issue. However, some new grid codes require PV inverters to have the ability of injecting reactive power into the utility for grid support. In order to map the challenge, an improved hybrid modulation method is proposed and evaluated for one non-isolated H6 topology as an example. With only simple modification for switching patterns and phase shift for current reference, variable reactive power generation ability and zero crossing distortion is achieved, while common mode voltage issue is also eliminated. The operation modes with the improved hybrid modulation approach are presented in detail as well. Some design considerations are also provided. Extensive results from a 4000VA prototype along with the SMPLIS simulation verify the proposed hybrid modulation method.