An apparatus for producing an easy-to-tear plastic film comprising a pattern roll rotatably supported by a pair of stationary frames, an anvil roll moving along a pair of movable frames, a first driving unit for rotating the movable frames, and second driving units each mounted to the movable frame to move the anvil roll up and down; high-hardness, fine particles projecting from a rolling surface of the pattern roll having such average height and maximum height as enabling the formation of unpenetrating fine pores in a plastic film; with the anvil roll inclined to the pattern roll in a horizontal plane by the operation of the first driving unit, large numbers of unpenetrating fine pores being formed transversely uniformly in the plastic film passing through a gap of both rolls.