In　this　paper,　phase-locking　dynamics　of　2D　VCSEL　hexagonal　array　with　an　integrated　Talbot　cavity　are　numerically　investigated　based　on　rate　equations　aiming　at　achieving　high　brightness　output.　The　processes　of　wavelength　synchronization　and　phase　locking　under　different　fill　factors　ff　and　fractional　Talbot　cavity　lengths　L　were　addressed　comprehensively.　Different　supermodes　of　phase-locked　VCSEL　array　were　then　analyzed　from　both　near-field　and　far-field　pattern,　and　proved　to　be　well　matched　with　the　results　of　coupled-mode　theory.　With　appropriate　configuration　the　Talbot-VCSEL　system　can　operate　in　a　full　in-phase　mode　eventually,　which　is　beneficial　for　determining　the　parameter　interval　corresponding　to　the　most　expected　single　narrow-lobe　far-field　pattern.　Furthermore,　the　simulation　results　also　indicate　that,　considering　the　parametric　interactions　the　distribution　of　optical　feedback　from　the　fractional　Talbot　cavity　should　be　consistent　as　much　as　possible　to　facilitate　the　realization　of　phase-locked　state.　Our　study　could　provide　a　theoretical　support　to　obtain　the　full　in-phase　coupled　VCSEL　array　with　high　performance.　(C)　2022　Optica　Publishing　Group　under　the　terms　of　the　Optica　Open　Access　Publishing　agreement