By　using　both　the　single-walled　carbon　nanotube　saturable　absorber　(SWCNT-SA)　and　the　electro-optic　(EO)　modulator,　the　stably　doubly　Q-switched　and　mode-locked　(QML)　operation　of　Nd:Gd0.3Lu0.33Y0.37VO4　laser　has　been　demonstrated.　The　QML　laser　characteristics　such　as　the　pulse　width,　single-pulse　energy,　etc.,　have　been　measured　for　different　modulation　frequencies　of　the　EO　modulator　(f(e))　and　reflectivity　(R)　of　output　coupler.　In　comparison　with　the　solely　passively　QML　laser　with　SWCNT-SA,　the　experimental　results　show　that　the　doubly　QML　laser　can　generate　more　stable　and　shorter　pulses　with　higher　pulse　energy.　At　9.24　W　pump　power,　f(e)=1　kHz　and　R=93.5%,　the　doubly　QML　laser　has　compressed　the　Q-switched　envelope　pulse　width　88%　and　improved　the　mode-locked　pulsed　energy　55　times.　(C)　2011　Elsevier　Ltd.　All　rights　reserved.