There　is　a　large　divergence　angle　of　the　fast-axis　output　beam　of　high　power　diode　laser　(HPDL)　and　the　great　differences　between　the　fast-axis　and　slow-axis　beam　limit　the　direction　application　of　HPDL.　The　mathematical　model　of　the　LD　collimation　lens＇　surface　is　researched　and　by　using　aplanatic　principle　and　considering　the　position　of　microlens,　two　equations　of　two　types　of　quadratic-vertical　surfaces-elliptical　surface　and　hyperbolic　surface-are　established　in　a　practice　way.　These　two　models　are　simulated　in　ZEMAX　software　and　the　conclusion　is　elicited;　the　effect　of　these　two　collimation　lens　are　much　better　than　the　regular　spherical　surfaces.