A virtual interference inspection method is used to perform a three-dimensional dynamic simulation of ship retrofitting objects, in order to detect possible interference situations such as insufficient equipment replacement space and obstruction during the addition and replacement process in advance. Due to the large number of ship models and numerous surface patches in ship production design, the commonly used interference algorithms are of low operational efficiency. In order to improve the efficiency of dynamic interference detection for addition and replacement process, and considering collision accuracy and rigor, a hybrid hierarchical bounding box algorithm based on Axis-Aligned Bounding Box-Oriented Bounding Box (AABB-OBB) is proposed for dynamic collision detection of the virtual objects. After verification, this method can quickly perform collision detection in complex virtual environments and generate interference results for production designers to optimize the surrounding ship structure of the addition and replacement equipment, timely and accurately avoiding possible interference problems.