Access point assignment for indoor Li-Fi and Radio Frequency (RF) hybrid networks is studied. Based on the dynamic application scenario with the movement of users and the changes in the number of users, a conversion threshold is introduced to determine the allocation of APs. Two improved methods of AP allocations, dynamic threshold and minimum data rate constraint, are proposed under the condition of considering the handover overhead. The experimental results show that in the same application scenario, the proposed AP allocation methods improve the outage probability performance by 4.66% and 8.50%, respectively, and improve 1% outage data rate by 3.21 Mb/s and 9.09 Mb/s, respectively, when compared with the AP allocation method with fixed threshold. In addition, the simulation analysis shows that the data rate requirements and the maximum number of randomly generated users can significantly affect the outage probability performance.