<p>The creep behavior of red-stratum mudstone plays a critical role in the long-term stability and safety of major engineering projects, making a systematic investigation of its consolidation creep characteristics of significant engineering relevance. In this paper, one-dimensional consolidation creep experiments were conducted on red-stratum mudstone using an incremental loading method to determine the effects of initial dry mass density, moisture content, and normal stress on its consolidation creep behavior. Based on the observed characteristics of the consolidation creep curves, a hyperbolic empirical consolidation creep constitutive model incorporating the effects of initial dry density, moisture content, and normal stress was developed. The experimental results indicate that the consolidation creep behavior of red-stratum mudstone can be divided into three stages: instantaneous creep, decelerated creep, and stable creep. Higher moisture content, lower initial dry density, and greater normal stress result in increased total deformation, larger secondary consolidation coefficients, and longer durations to reach creep stability. The proposed constitutive model accurately captures the consolidation creep characteristics of red-stratum mudstone, providing a theoretical basis for assessing and improving geological safety in red-mudstone engineering regions.</p>