The invention discloses an auxiliary 
tube drawing device for 
deep hole karst grouting and a construction method thereof. The device comprises a big drilling rod (1), an external tube (2), a steel sleeve (3) and a small drilling rod (4); the 
diameter of the big drilling rod (1) is larger than the 
diameter of the external tube (2), the 
diameter of the external tube (2) is larger than the diameter of the steel sleeve (3), the diameter of the steel sleeve (3) is larger than the diameter of the small drilling rod (4), the external tube (2) is shorter than the steel sleeve (3), the external tube (2) is arranged outside the steel sleeve (3), and the steel sleeve (3) is arranged under a 
bed rock face. The construction method comprises the steps that a drilling 
machine strikes the big drilling rod to be underground, after the big drilling rod is drawn out, the external tube is struck in, the steel sleeve is struck to be under the 
bed rock face inside the external tube by adopting the drilling 
machine, and the steel sleeve is left in rock; the small drilling rod is struck to be under the 
bed rock face or under a bottom 
karst cave inside the steel sleeve, after the small drilling rod is drawn out, a stop-grouting plug is arranged downwards, then grouting is conducted, after the grouting is completed, the steel sleeve is drawn out in case the steel sleeve needs to be recycled, then the next hole grouting construction is conducted, and the process is recycled.