In　this　paper,　an　analytical　model　and　its　new　numerical　solution　using　the　homogenization　method　are　developed　to　determine　the　effective　electromagnetic　characteristics　of　honeycombs.　Based　on　the　proposed　solution　method,　the　electromagnetic　properties　are　obtained　by　employing　the　multi-scale　homogenization　theory　and　periodical　electric　(magnetic)　potential　boundary　conditions.　Further,　the　effect　of　geometry　of　honeycomb＇s　unit　cell　on　effective　electromagnetic　properties　is　investigated　with　the　use　of　the　proposed　method.　The　numerical　results　are　compared　with　analytic　results　using　the　Smith-Scarpa＇s　semi-empirical　formula.