This article presents a novel design for transparent piezo metasurfaces (PMs) that can generate various motion modes with high strains across a wide frequency range. Traditional multi-degrees-of-freedom systems in piezoelectric devices are often complex and cumbersome, but the proposed PMs offer a more compact and integrated solution. The PMs are designed using a topological structure construction method, where piezoelectric units are arranged in a specific pattern to achieve desired motion modes. The PMs can produce linear motions along the X-, Y-, and Z-axes, rotary motions around these axes, and coupled modes. An adaptive lens (ALENS) based on these PMs is demonstrated, capable of achieving a wide range of focal lengths (35.82 cm to ∞) and effective image stabilization with large displacements (5.05 μm along the Y-axis) and tilt angles (44.02° around the Y-axis). The research highlights the potential of PMs in miniaturizing and integrating multi-degrees-of-freedom systems, making them suitable for advanced applications in adaptive optics and other fields.This article presents a novel design for transparent piezo metasurfaces (PMs) that can generate various motion modes with high strains across a wide frequency range. Traditional multi-degrees-of-freedom systems in piezoelectric devices are often complex and cumbersome, but the proposed PMs offer a more compact and integrated solution. The PMs are designed using a topological structure construction method, where piezoelectric units are arranged in a specific pattern to achieve desired motion modes. The PMs can produce linear motions along the X-, Y-, and Z-axes, rotary motions around these axes, and coupled modes. An adaptive lens (ALENS) based on these PMs is demonstrated, capable of achieving a wide range of focal lengths (35.82 cm to ∞) and effective image stabilization with large displacements (5.05 μm along the Y-axis) and tilt angles (44.02° around the Y-axis). The research highlights the potential of PMs in miniaturizing and integrating multi-degrees-of-freedom systems, making them suitable for advanced applications in adaptive optics and other fields.