In order to analyze the structural reliability considering the effect of uncertainty factors, based on the interval descriptions of the uncertain parameters, by using the method of degree the structural interval reliability is analyzed. Using interval numbers to describe the uncertainty which affect the structural function, and establish the interval stress-interval strength interference model of structural reliability analysis, the interval variabili- ty will be introduced to the interval reliability analysis. Based on interval mathematics and the theory of the in- terval comparative method, a new interval reliability index is proposed, and the calculation by using the interval structural reliability analysis based on degree method is carried out in this paper. Analytical results show that the method is of good mathematical quality. The calculated results are consistent with that by using the nonprobabilistic reliability calculation. It shows that this method can make reasonable estimation on the degree of structure safety and reliability.%为了分析考虑不确定性因素影响下的结构可靠性，基于不确定性参数的区间描述，用度的方法对结构区间可靠性进行分析。用区间数描述影响结构功能的不确定性，建立结构可靠性分析的区间应力一强度干涉模型，将这些区间变量引入到结构区间可靠性的分析中。基于区间数学以及区间数比较方法理论，提出了一种新的区间可靠性指标。运用基于度的结构区间可靠性分析方法进行计算，分析结果表明该方法具有良好的数学性质，计算得出的结果与用非概率可靠性计算结果相一致，表明该方法可以对结构安全或可靠的程度做出合理的估计。
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