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本文对一类延迟微积分方程进行勒让德误差分析,首先通过适当的函数变换和变量变化把方程的定义域化为标准区间,然后利用勒让德谱配置方法进行分析,最终获得方程的在L2和L∞模意义下呈现谱收敛的结论.“,”Legendre spectral method is developed for some integro-differential equations with delay.Transfor-mation is made so that Legendre spectral method can be applied conveniently.Then a rigorous error analysis is pro-vided for the established method.At last, we establish the spectral rate of convergence under both L2-norm and L∞-norm.