Directional noise reduction is an essential and challenging task when using Bluetooth headsets to make phone calls, using hearing aids to receive sound, or interacting with intelligent robots. Most existing methods often suffer from problems such as the fixed desired incidence direction and poor noise reduction. To address these problems, a directional noise suppression method based on dual-microphones with desired direction presetting is proposed. A signal model is first constructed by introducing a virtual microphone. Then, by balancing and offsetting the noise components in the dual-channel differential signals, the amplitude spectrum of the desired speech is presented, where the determinant-based approach is utilized to make the speech presence decision. Finally, considering that the phase distortion caused by noise will affect the speech quality, the phase spectrum of noisy speech is optimized by the compensation function and then combined with the enhanced amplitude spectrum to reconstruct the desired speech. The experimental results show that the proposed method obtains better performance in suppressing directional noise.