The global COVID-19 pandemic caused by SARS-CoV-2 has resulted in an unprecedented economic and societal impact. Developing simple and accurate testing methods for point-of-care (POC) diagnosis is crucial not only for the control of COVID-19, but also for better response to similar outbreaks in the future. In this work, we present a novel proof-of-concept of a microfluidic microwave sensing method for POC diagnosis of the SARS-CoV-2 virus. This method relies on the antibody immobilized on the microwave sensor to selectively capture and concentrate the SARS-CoV-2 antigen or virus present in a buffer solution flowing through the sensor region in a microchannel. The capturing of the SARS-CoV-2 antigen or virus results in a change in the permittivity of the medium near the sensor region reflected by the resonance frequency shift which is used for detection. The use of microchannels offers precise control of the sample volume and the continuous flow nature also offers the potential to monitor the dynamic capturing process. The microwave-microfluidic device shows a good sensitivity of 0.1 ng ml-1 for the SARS-CoV-2 antigen and 4000 copies per ml for the SARS-CoV-2 virus. The resonance frequency shift presents a linear relationship with the logarithm of antigen or virus concentration, respectively. This detection method is able to distinguish SARS-CoV-2 from the antigen of human CD4 and two human coronaviruses (MERS and HKU1), which presents a new pathway towards POC diagnosis of the COVID-19 at the community level. It presents the potential to detect other viruses by functionalizing the microwave sensor with respective antibodies.