It was proposed that a fresh and effective method to construct high order resilient function over the field GF ( 2 ) by attachable properties of correlation immune function and no departure of multi output function. 运用GF(2)上高阶相关免疫布尔函数的级联性质及多输出函数中的无偏函数,给出了构造高阶弹性函数较为简洁、有效的方法。