研究了有初始小挠度单向受压粘弹性板在两种情况下的蠕变屈曲问题．第一种情况是在建立控制方程时忽略横向剪切变形；第二种情况是不忽略横向剪切变形．通过求解控制方程得到了挠度随时间扩展的解析表达式，从而又得到了瞬时临界载荷和持久临界载荷，并讨论了横向剪切变形对临界载荷的影响． The creep buckling problems of the unidirectional compression viscoelastic plate with initial small deflection under two conditions are studied. In the first case, the transverse shear deformation is ignored when establishing the governing equations; in the second case, the transverse shear deformation is not neglected. By solving the governing equations, an analytical expression of the deflection over time is obtained, and the instantaneous critical loads and permanent critical loads are obtained. The effects of transverse shear deformation on the critical loads are also discussed.