A surgical access port assembly is provided including a cannula and an obturator insertable through the cannula. The cannula includes a housing having a hollow elongate tubular member extending distally from the housing. A duckbill valve is provided within the housing and includes an outer support rim and a pair of opposed multi-angle leaflets extending inwardly from the outer support rim. Each leaflet includes a lead in portion oriented at a first angle relative to the support rim and an entry portion extending from the lead in portion and oriented at a second angle relative to the support rim. The second angle is greater than the first angle.