The invention, hybrid mechanical-electromagnetic imaging method and the system thereof, uses single or plural number of focused ultrasonic transducer(s) that send ultrasound waves to the tissue at different radiation force frequencies at different times, which in turn induces local vibrations at different frequencies and different amplitudes. Microwave signals are transmitted to the tissue for each radiation force frequency of ultrasound excitation. The scattered signals which contain a Doppler frequency component because of the motion inside the tissue are received by a microwave receiver. The Doppler frequency component properties (amplitude, frequency and phase) of the signals are processed for each radiation force frequency. The resultant data reveals the combined elasticity and electrical properties (permittivity and/or conductivity) of the tissue at the focal point. The focal point is scanned throughout the tissue volume and 3D images are generated. Tumors or malignancies can be identified in the images.