This study explores the mechanical properties of ovine renal tissue, focusing on resonance patterns at low frequencies. Using a universal tensile/compression testing machine, we examined the stress-strain behavior of the tissue under compression, revealing its non-linear viscoelastic characteristics. Dynamic Mechanical Analysis (DMA) and a dynamic shear rheometer were employed to measure the storage and loss moduli across various frequencies (0.01–10 Hz). The shear storage modulus ranged from 1 kPa to 48 kPa in the strain level of 0.5%, while the shear loss modulus varied between 2 kPa and 4 kPa. Experimental results showed no resonant behavior in the mechanical properties, including storage modulus, loss modulus, and tan delta, in both tensile and shear modes at frequencies below 10 Hz. A vibration test was conducted using a shaker to investigate the Frequency Response Function (FRF) of the kidney over the studied frequency range. The vibration tests revealed mechanical resonance in the kidney at approximately 3 Hz. A numerical modal analysis, conducted using COMSOL software, identified a natural frequency around 3 Hz, closely aligning with experimental observations. These findings suggest significant implications for understanding renal mechanics and developing medical applications.