<p>This paper investigates the quasi-periodic wave solutions of the supersymmetric seventh-order KdV equation, which mathematically model high-order wave phenomena in fluid mechanics and the dynamic evolution of plasma shock waves under electromagnetic fields. The <i>N</i>-periodic wave solutions are constructed by relying on the super Hirota’s bilinear method and the super Riemann-theta function. The solvable problem of the <i>N</i>-periodic wave solutions is transformed into an over-determined system, which can be formulated into a least squares problem. The global Levenberg-Marquardt method is used to solve this problem. The exact one-periodic wave solutions are given and the numerical algorithm is used to derive the two-, three- and <i>N</i>-periodic wave solutions. From the perspective of the characteristic lines, the dynamic characteristics containing periodicity, influence band, bandwidth, degradation mechanism, peaks, troughs and wave velocities are obtained. In addition, as the distance between the influence bands gradually widens, the amplitudes of the quasi-periodic waves increase. Based on the proportional relationship of parameters in the characteristic lines, the quasi-periodic waves are classified into three patterns, namely completely parallel, not completely parallel, and intersecting. Additionally, the asymptotic property of the <i>N</i>-periodic wave solutions under certain conditions and small amplitude limits is discussed. Finally, the numerical method used in this paper can be extended to other nonlinear supersymmetric integrable systems.</p>