The Bayi District of Tibet is rich in rainfall and frequent geological disasters. The water conservation function of the forest ecosystem is vital to regional ecological stability. The stable performance of its functions depends on the spatial structure of the forest landscape. Therefore, the forest landscape should be studied accurately. The characteristics of the spatial structure are of great significance to the subsequent optimization of the layout. Taking Bayi District of Tibet as the research area, based on complex network theory and landscape ecology analysis methods, the forest ecological corridor was extracted through the least cumulative resistance model, and then the fragile ecological nodes on the forest ecological corridor were identified. It constituted a forest ecological network intertwined with “point-line-surface”. And the complex network static characteristic index and robustness analysis method were used to analyze the topological structure characteristics and anti-destructive ability of the forest landscape spatial network. The results showed that the degree distribution of the forest landscape spatial network in Bayi District of Tibet presented a power-law distribution and had the characteristics of non-scaling. The network had non-uniform characteristics, the network structure was less stable, and under random attacks, the edge and node recovery robustness was better than malicious attacks.