To address the forward position problem of a 6-DOF moving platform, a Bat-iterative method leveraging the Bat algorithm was proposed as a solution. By combining the Bat algorithm with the traditional Newton-Raphson iterative algorithm, the convergence speed and accuracy of the algorithm can be improved while the convergence and global search ability are guaranteed. The concrete implementation process of the algorithm is given, and the corresponding positive solution problem of 6-DOF parallel mechanism is solved by using the algorithm, and the corresponding operation example is given. At the same time, the inverse solution method is used to obtain the data set for error analysis and comparison. In summary, the comparison results demonstrate that the Bat-iterative algorithm offers notable benefits such as fast computation speed and high precision. As a result, it proves to be well-suited for practical engineering applications, meeting the necessary requirements effectively.