Vortex-induced　vibration　(VIV)　of　bridge　girders　and　its　control　are　major　concerns　for　bridge　engineers　and　are　key　scientific　problems　to　be　investigated.　To　further　promote　the　theoretical　and　applied　studies　on　VIV　of　bridge　decks,　previous　research　on　the　state-of-the-art　progress　and　development　tendencies　regarding　this　topic　are　systematically　reviewed　in　the　present　study.　First,　common-used　research　techniques　including　field　measurement,　wind　tunnel　tests,　computational　fluid　dynamics,　and　theoretical　analysis　are　summarized.　Then,　state-of-the-art　progress　regarding　the　triggering　mechanisms　of　VIV,　its　influencing　factors,　analysis　methods　for　prototype　bridges,　and　VIV　control　countermeasures　are　systematically　reviewed,　and　the　existing　research　limitations　are　emphasized.　Finally,　several　development　tendencies　on　this　topic　in　the　aspects　of　innovative　test　equipment　and　techniques,　high-precision　reduced-order　modeling　(ROM)　and　artificial　intelligence　methods　as　well　as　active　aerodynamic　or　novel-type　passive-control　devices　are　discussed.　Future　works　urgent　to　be　improved　are　also　pointed　out.　The　above　reviews　emphasize　that　there　are　still　some　technical　problems　remain　for　further　investigation　in　the　study　of　bridge　girder　VIVs,　such　as　the　modeling　of　fluid-structure　interaction　during　VIV,　the　prediction　and　control　of　VIV　performance　of　the　prototype　bridge　with　accepted　accuracy　and　effectiveness.　Further　research　is　needed　on　these　topics.　©　2019,　Editorial　Department　of　China　Journal　of　Highway　and　Transport.　All　right　reserved.