The　majority　of　offshore　wind　turbines　(OWTs),　characterized　by　their　extensive　size,　constantly　operate　within　wake　circumstance,　making　the　study　of　wake　effects　as　a　focus　point.　In　the　past　decades,　the　primary　focus　of　the　structural　strength　of　OWTs　has　been　central　on　the　use　of　the　damage　equivalent　loads　(DELs).　However,　the　current　studies　exhibit　a　deficiency　in　accurately　quantifying　fatigue　damage,　essential　for　assessing　longevity.　To　this　end,　this　paper　proposes　a　methodology　for　evaluating　fatigue　damage　for　OWTs　under　wake　and　yaw　situations.　Specifically,　by　configuring　the　wind　field　in　diverse　settings　and　considering　the　yaw　misalignment　control　and　farm　arrangement　scenarios,　the　time-varying　loads　(TVLs)　in　this　state　can　be　determined.　Subsequently,　fatigue　damage　induced　by　DELs　and　TVLs　are　compared.　The　findings　underscore　that　the　popular　fatigue　assessment　approach　based　on　DELs　concept　fails　to　portray　damage　distribution　under　yaw　conditions,　a　gap　effectively　filled　by　proposed　method.　The　study　also　investigates　the　effects　of　turbulence　intensity　(TI)　and　OWTs　spacing　on　resultant　fatigue　damage,　which　reveals　that　TI　exerts　a　more　significant　influence　on　OWT　damage　in　wake　offset　conditions　compared　to　wind　speed　and　OWTs　spacing.