As the manufacturing technology keeps scaling, crosstalk noise induces a greater impact on timing. Although many previous works proposed techniques like timing correlation, functional correlation and path refinement to consider crosstalk noise during static timing analysis, they often suffered from descendant problems including overly-pessimistic timing bound, bad aggressor selection and false paths. Therefore, in this paper, a coupling-aware functional timing analysis tool named CA-FTA is proposed to tame the three problems stated above and to derive a tighter timing bound for the true longest path. Experimental results show that CA-FTA averagely reduces timing bounds of those obtained from crosstalk STA (with path refinement) by 7.26% on several ISCAS'85 and ISPD-2012 benchmark circuits (in particular, by 34.6% for b19). As a result, CA-FTA successfully solves the aggressor-selection problem as well as the falsepath problem and relaxes more margins when considering crosstalk noise.