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Network security metrics are a combination of qualitative and quantitative data of the security status of a system or network. Many metrics have proposed to in previous years. The aim of this study was to present a comparison of attack graph path based security metrics to measure network secure. Few metrics has been chosen which are Shortest attack path, Number of attack paths, Mean attack path length, Normalized mean of attack path metric, Mode of attack path length, Median of attack path length, Mean vulnerabilities on path, and Weakest path metrics. The experiments show the MVoP metric records (4.5) average vulnerabilities on the path for network A and (1.07) average vulnerabilities on the paths for network B while WP metric shows the specific weakest path on the network A and network B. The MVoP and WP have been more specific results because these metrics are based the vulnerabilities on the path more than focus on the number on the nodes or number of the paths in the network.