Considering the high complexity of THE (Hierarchical Topology Estimation) and its performance degradation under the condition of large correlation estimation variance, a method based on agglomerative hierarchical lustering is proposed. The method employs bottom-up agglomerative hierarchical clustering, which only uses the data related to the node pair with the largest correlation, so it has lower computation complexity than HTE. A modified finite mixture model is established, increasing the amount of effective data, which improves the accuracy of parameter estimation. The simulation demonstrates that the proposed method infers the topology more rapidly, with higher accuracy when the correlation estimation variance is large.