Anti-blocking polymer compositions comprise at least one ethylene/.alpha.-olefin interpolymer and at least one anti-blocking agent comprising an amide. The ethylene/.alpha.-olefin interpolymers are a multi-block copolymer comprising at least one soft block and at least one hard block. The anti-blocking agent can be erucamide or other amides. The anti-blocking polymer composition has a pellet blocking strength of equal to or less than 100 lbs/ft.sup.2 (4800 Pa). When the anti-blocking polymer composition is made into a film, the film has a blocking force of less than about 100 grams, measured according to ASTM method D-3354.