To improve the display quality of a liquid crystal display element by using a microlens array sheet (sheet) which satisfies specified geometric optical conditions.

When light beams enter the sheet along the normal line of the surface 7 near a second material layer 2, these beams reach the rugged pattern and exit from the surface 5 near a first material layer 1 at a refraction angle α to the normal line direction of the surface 5. The slope faces in the rugged pattern which give the refraction angle α satisfying α≥15° are included by ≥10% in one period of the pattern. Moreover, when light beams enter the surface 7 near the second material layer 2, transmit through the first material layer 1 and exit from the surface 5 near the first material layer, the intensity of light beams with refraction angle a to the normal line direction of the surface 5 satisfying α≤5° is ≥40% of the whole intensity of the beams exiting from the layers. Moreover, the transmittance for the light beams 10 which enter the sheet along the normal line of the surface near the first material layer 1, reach the max. slope face on the point A and transmit through a third material layer 3 is ≥80%.