<p>Membranes are ubiquitous in the living world. However, many of their physical properties are dominated by nonlinear effects, requiring computational approaches to model. Here we introduce a computational framework - PyMembrane - for simulating liquid and elastic membranes, designed to bridge the gap between accessibility, flexibility, and computational power. Built on a high-performance C++ backend with a user-friendly Python interface, it enables efficient setup, execution, and analysis of complex simulations. By leveraging a modular architecture and optimized data structures for unstructured triangulated meshes, PyMembrane delivers high computational efficiency for large-scale simulations while maintaining flexibility for customization and extension. Its standardized C++ interface ensures seamless integration of new features, including dynamic and out-of-equilibrium phenomena. With comprehensive documentation and ready-to-use templates for common simulation scenarios, PyMembrane enhances membrane modeling, providing a powerful tool for addressing a wide range of problems in physics, materials science, biology, and engineering.</p>