Albedo estimation plays an important role in many areas such as computer vision, computer graphics etc. A robust estimation algorithm of near-infrared albedo (RENA) based on nonstationary stochastic process is proposed in order to obtain albedo with high quality. This algorithm takes Kinect one as input and establishes an additive noise model of albedo. Simultaneously, the concept of robust shading estimation is proposed to simplify the nonstationary stochastic process model of albedo. Experiments show that estimation results of the proposed algorithm are better than other denoising algorithms, and it is suitable for high precision estimation of albedo images in indoor scenes.