Interferometric phase unwrapping is one of the most challenging research topics for the remote sensing community. Recovering and correctly estimating the true interferometric phase signal from the received wrapped one provides critical information about changes in the Earth’s surface over time. Interferometric synthetic aperture radar (InSAR) has been widely used to extract such displacement estimates. However, InSAR images are affected often by a particular type of noise known as Gaussian. The presence of Gaussian noise in InSAR data can make the phase unwrapping process more difficult. In this paper, we introduce a convolutional deep learning-based network to perform simultaneous interferometric phase denoising and unwrapping. Quantitative and qualitative evaluations, made on synthetic and real world InSAR data, show that the proposed approach is able to produce accurate results even in the presence of strong noise.