Maintaining software libraries is significant in programming as it ensures developers have access to up-to-date and efficient code libraries. These libraries provide reusable components and functions, promoting code efficiency and reducing redundancy. Regular maintenance helps in addressing bugs, improving performance, and ensuring compatibility with evolving technologies. Furthermore, maintaining libraries also involves proper documentation, which is essential for teamwork and future development. By keeping software libraries updated, organizations can enhance their overall development process, leading to more robust and scalable applications.