A pipe connection includes a metal locking ring which can be pushed onto the external pipe of two interlocking metal pipes to connect the latter. The inner face of the locking ring has a leading section that tapers conically in a radial direction in opposition to the direction of application; a trailing section that tapers conically in a radial direction in opposition to the direction of application and that causes the pipe to be radially compressed, when the ring is in the locking position; and a central section lying between the leading section and the trailing section. A central section with a conical configuration improves a pipe connection of this type so that the tensile strength of heavy duty pipe connections or pipe connections consisting of pipes of material with low elasticity becomes mechanically more stable.