Monocular 3D object detection (Mono3D) is an indispensable research topic in autonomous driving, thanks to the cost-effective monocular camera sensors and its wide range of applications. Since the image perspective has depth ambiguity, the challenges of Mono3D lie in understanding 3D scene geometry and reconstructing 3D object information from a single image. Previous methods attempted to transfer 3D information directly from the LiDAR-based teacher to the camera-based student. However, a considerable gap in feature representation makes direct cross-modal distillation inefficient, resulting in a significant performance deterioration between the LiDAR-based teacher and the camera-based student. To address this issue, we propose the Teaching Assistant Knowledge Distillation (MonoTAKD) to break down the learning objective by integrating intra-modal distillation with cross-modal residual distillation. In particular, we employ a strong camera-based teaching assistant model to distill powerful visual knowledge effectively through intra-modal distillation. Subsequently, we introduce the cross-modal residual distillation to transfer the 3D spatial cues. By acquiring both visual knowledge and 3D spatial cues, the predictions of our approach are rigorously evaluated on the KITTI 3D object detection benchmark and achieve state-of-the-art performance in Mono3D.