These double-ferrule instrumentation-grade tube fittings provide leakproof and torque-free seals at tubing connections. This reduces the likelihood of hazardous and expensive leaks in instrumentation, process, pneumatic, hydraulic, gas and other tubing systems. The solid leak-free joint is formed as a five-piece connection comprised of the nut, the back ferrule, the front ferrule, the body and the tubing. The ferrules are tightly swaged around the tube, and the lack of initial strain on the tubing ensures against tubing wall damage.