This paper addresses the issue of buckling in slender tubes under axial compression by introducing the Miura-ori origami configuration to study its impact on the buckling characteristics of slender tubes. First, the unit cell structure of the Miura-ori origami tube and the design of the origami slender tube are described. Then, taking the typical Miura-ori tube as an example, an analysis of its mechanical performance under axial compression is conducted to investigate its improvement in buckling control. To explore optimal mechanical performance, a square tube is used as a comparison to study the effects of different geometric parameters on the mechanical properties of the Miura-ori tube. The results indicate that as the length of the parallelogram increases, the internal angle decreases, the thickness decreases, and the crease weakening coefficient decreases, overall buckling control of the slender tube becomes more effective. Finally, response surface methodology is employed to analyze the combined influence of slenderness ratio, crease weakening coefficient, and internal angle on buckling control performance. The interaction between parameters is visualized, providing insights for parameter optimization.