Recently, tracking with unmanned aerial vehicles (UAVs) platforms has played significant roles in earth observation tasks. However, target occlusion remains a challenging factor during the continuous tracking procedure. In particular, incomplete local appearance features can mislead the tracking network to produce inaccurate size and position estimations when the target is occluded. Furthermore, the tracking network lacks sufficient occlusion supervision information, which may lead to template degradation during template updating. To address these challenges, in this paper, we design an occlusion-aware tracker with local-global features modeling, which contains two key components, namely the feature intrinsic association module and the feature verification module. Specifically, the feature intrinsic association module divides the local features into blocks and utilizes the transformer network to explore the relative relationships among each sub-block, which supplements the damaged local target features and assists the modeling for global target features. In addition, the feature verification module establishes a correlation measurement network between the target and the template. To precisely evaluate the occlusion status, masked samples with occlusion exceeding 50% are selected as negative samples for independent training, which ensures the purity of the target template. Qualitative and quantitative experiments are conducted on publicly available datasets, including UAV20L, UAV123, and LaSOT. Qualitative and quantitative experiments have demonstrated the effectiveness of the proposed tracking algorithm over the other state-of-the-art trackers in occlusion scenarios.