With regard to the low spatial resolution in light filed microscopy, we proposed a method based on graph regularization and reconstructed a super-resolution light field. As a result, high-resolution view angle images of the light field were obtained. Firstly, the images of the light field were aperiodically extracted. Then, the super-resolution issue in the light field was transformed into a global optimization problem, in which the complementary information between those images was applied for smoothing regularization. Finally, the gradient descent algorithm minimized the objective function and thus reconstructed the high-resolution view angle images. Experimentally, a light field microscope, equipped with an objective lens, a microlens array, and a CCD, collected the data of the light field, and then graph regularization was used to reconstruct the high-resolution light field. Compared with the traditional methods, the proposed method has small calculation amount in disparity estimation and high imaging quality, and effectively retains the original light field structure.