The invention discloses a basement support construction method. The basement support construction method is characterized in that cast-in-situ bored piles are arranged on the outer edge of a basement and taken as support piles, a frozen soil wall is arranged in the position 1-1.3 m away from the outer sides of the cast-in-situ bored piles, pressure releasing holes are formed in positions 50-60 cm away from outer sides of freezing holes, each freezing hole corresponds to two pressure releasing holes, and the diameter of each pressure releasing hole is 25-30 cm; the frozen soil wall is equipped with frozen soil arch feet at intervals of 8-12 m, the frozen soil wall is equipped with freezing pipes according to soil texture, and for mucky soil, the interval of adjacent freezing pipes is larger than or equal to 0.9 m and smaller than 1 m; for floury soil, the interval of adjacent freezing pipes is larger than or equal to 1 m and smaller than 1.05 m; for clay, the interval of adjacent freezing pipes is larger than or equal to 1.05 m and smaller than or equal to 1.1 m. the frozen soil wall is equipped with horizontal prestress devices every three spans; a coping beam is arranged at tops of the frozen soil wall and the frozen soil arch feet.