A　532nm　Diode-Pumped　green　laser　was　used　to　cut　glass　with　the　Micro-Crack　control.　The　＂Micro-Crack＂　was　the　micron-sized　round-like　crack　caused　by　laser　in　the　glass　and　the　line-crack　around　the　round-like　crack.　This　paper　researched　the　generation　of　the　Micro-Crack　and　discussed　how　to　control　it,　then　researched　the　stress　field　in　the　glass　during　the　cutting　by　finite　element　analysis.　Propose　a　new　method　about　the　glass　cutting　which　had　advantages　of　low　power,　low　heat　effect,　irregular-curve　cutting　and　slant　cutting.