The BMW 540i, model year 2001, chassis code E39, is a premium sport sedan renowned for its exceptional engineering and performance, embodying BMW's commitment to being "The Ultimate Driving Machine." This generation, produced from 1996 to 2003, is celebrated for its superior handling, refined driving dynamics, and luxury appointments, often recognized with accolades such as Car and Driver's 10 Best. Powered by a robust 4.4L V8 engine producing 290 horsepower and 324 lb-ft of torque, it offers an engaging driving experience, complemented by either a 5-speed Steptronic automatic transmission or a rare 6-speed manual. Its design emphasizes a balance of sportiness and comfort, making it a compelling choice in its segment. This comprehensive workshop repair service manual, written in English, serves as an indispensable resource for maintaining and repairing the BMW 540i (E39). It covers all models, engines, trims, and transmission types, offering detailed information on general maintenance, troubleshooting, engine and transmission service, brake systems, electrical systems, suspension, steering, cooling, fuel injection, and more. With professional technician-level depth, including diagnostic procedures, disassembly and assembly instructions, and critical notes, this manual empowers owners and technicians to perform a wide range of tasks, from routine service to complex repairs, ensuring the longevity and optimal performance of the vehicle.