We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set introduced in [15], we also study the Assouad dimensions of Cantor-like sets.where B(x, r) is the closed ball centered at x with radius r and | · | denotes the diameter of set. Olsen [20] proved that for a class of fractals with some flexible graphdirected construction, their Assouad dimensions coincide with their Hausdorff and box dimensions. He also pointed out that the fractals in [20] are Ahlfors-David regular. It is well known that self-similar sets and self-conformal sets satisfying 2000 Mathematics Subject Classification. 28A80.

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