利用反复迭代的思想方法，讨论了一类高阶非线性泛函微分方程 x（g（t））＝ P（t）x（t）＋∑m i＝1 Qi （t）∏s j＝1｜x （ gkj ＋ i （ t ））｜aj sgnx（gkj ＋ i （t））解的振动性，给出了这类函数方程一切解振动的充分条件：如果 limi∈ t→∞ inf∑m i＝1 Qi （t）∏s j＝1[∏kj ＋ i－1 k＝1 P（gk （t））]aj ＝ A ，且 limi∈ t→∞sup∑mi＝1 Q（t）∏sj＝1[∏k＋ i－1k＝1 P（gk （t））]aj ＞1λk两式成立，则上述方程的一切解振动。所得结果改进了近期文献的某些结果。“,”By utilizing iterative method ,oscillation of solutions to high -order variable coefficient functional differential equations of the form x(g(t))= P(t)x(t)+ ∑m i=1 Qi ( t )∏s j=1|x(gkj + i (t))|aj sgnx(gkj + i (t))is discussed .When ,ilimt → ∞ inf∑m i=1Q(t)∏s j=1[ ∏kj + i-1 k=1 P(gk (t))]aj =A ,and limitt→ ∞sup∑mi=1 Qi (t)∏sj=1[ ∏k+ i-1k=1 P(gk (t))]aj > 1λk ,all the solutions of the above equations are oscillatory .Some sufficient condi-tions for these equations are established .Our results improve some known results which were published recently in the literatures .