A tensor data processing method is provided. The method comprises receiving an input tensor including at least one of an outlier and a missing value, the input tensor being input during a time interval between a first time point and a second time point, factorizing the input tensor into a low rank tensor to extract a temporal factor matrix, calculating trend and periodic pattern from the extracted temporal factor matrix, detecting the outlier which is out of the calculated trend and periodic pattern, updating the temporal factor matrix except the detected outlier, combining the updated temporal factor matrix and a non-temporal factor matrix of the input tensor to calculate the real tensor and recovering the input tensor by setting data corresponding to a position of the outlier or a position of the missing value of the input tensor from the data of the real tensor as an estimated value.