To effectively guarantee the quality of service (QoS) in heterogeneous Visible Light Communication (VLC) and Radio Frequency (RF) Communication networks, we design a network resource matching algorithm based on the guarantee of statistical delay, which aims to improve the utilization of network service resources. We construct a network queuing system with the switching service process and random arrival process, and the effective bandwidth and effective capacity theory is used for the analysis. The minimum service rate provided by RF is evaluated when the VLC network is interrupted by occlusion. The algorithm is simulated by Matlab, and the influence of the variable system parameter on this algorithm is analyzed. The algorithm could provide some guidance for the research of QoS guarantee and resource allocation in heterogeneous networks.