A　picosecond　beam　with　Gaussian　profile　was　efficiently　shaped　into　a　super-Gaussian　profile　beam　by　a　circular　aperture　combined　with　a　spatial　filter-image　relaying　system.　By　studying　the　influence　of　the　size　of　the　filter　aperture　on　the　shaping　effect　in　the　spatial　filter-image　relaying　system,　the　experimental　results　for　maintaining　the　filling　factor　of　the　super-Gaussian　beam　greater　than　0.76　in　the　propagation　distance　of　200　mm　to　500　mm　was　obtained,　and　the　corresponding　efficiency　of　this　beam　shaping　method　was　over　32%.　Then,　the　beam　with　a　super-Gaussian　distribution　was　amplified.　By　using　the　thermal　lens　of　semiconductor　laser　side　pumped　Nd:YAG　crystal　to　replace　the　lens　in　the　4F　image　relaying　system,　the　structure　of　the　super-Gaussian　picosecond　laser　amplification　system　can　be　simplified.　After　double-passing　the　single　Nd:YAG　crystal,　a　picosecond　super-Gaussian　profile　beam　with　a　near-field　fill　factor　of　0.72,　1　kHz　repetition　rate,　11　ps　duration　and　3.0　mJ　single-pulse　energy　was　obtained,　and　the　corresponding　peak　power　intensity　was　up　to　8　GW/cm2.　©　2019,　Editorial　Board　of　Journal　of　Infrared　and　Laser　Engineering.　All　right　reserved.