The　laser　with　high　repetition　rate,　high　peak　power　and　narrow　line　width　has　important　application　value　in　the　field　of　laser　radar.　In　the　amplification　of　high　repetition　frequency　and　narrow　line　width　laser,　in　order　to　achieve　both　high　magnification　and　high　beam　quality　laser　output　at　high　repetition　rate,　narrow　line　width　of　passively　Q　-switched　laser　used　to　be　the　seed　source,　high　gain　amplifier　using　888　nm　diode　laser　end　pumped　Nd:　YVO4　crystal,　side　pumped　Nd:　YVO4　slab　crystal　thermal　lens　effect　of　two　stage　amplification　scheme　were　designed.　At　the　repetition　rate　of　10　kHz,　the　average　power　of　31.5　W,　and　the　laser　beam　quality　of　M2　1.98　were　obtained.　The　peak　power　was　5　MW,　the　line　width　was　154　pm　and　the　pulse　width　was　0.6　ns.　Thus,　the　design　idea　of　amplifier　with　high　magnification　ratio　and　high　beam　quality　control　individually　was　verified.　©　2019,　Editorial　Board　of　Journal　of　Infrared　and　Laser　Engineering.　All　right　reserved.