Wrist kinematics provide insight into repetitive strain injury development. Markerless motion capture extends kinematic assessment beyond laboratory and clinical confines. Our method uses open-source computer vision software with machine learning to predict wrist angles. Sixteen participants performed range-of-motion tasks recorded with four GoPro video cameras and a VICON motion capture system. Using data obtained from the GoPro cameras, open-source software DeepLabCut and Anipose generated 2D and 3D datasets containing anatomical landmark locations used to determine flexion-extension (FE) and radial-ulnar deviation (RUD) wrist angles. Machine learning algorithms for 2D (2DML) and 3D (3DML) methods yielded Mean Absolute Error (MAE) results of FE (10.9°) and RUD (5.2°) for 2DML and 5.9° (FE) and 5.2° (RUD) for 3DML. The 2DML and 3DML methods excelled using deep neural networks to improve prediction accuracy compared to DeepLabCut and Anipose in isolation, which shows promise for the advancement of accessible, accurate motion capture technology