The object of the invention is a traction sheave elevator and a rope that contains metal as a load-bearing material, such as the suspension rope of an elevator, which rope comprises at least one or more strands laid from metal wires and which rope is lubricated with a lubricant. Another object is the use of the aforementioned lubricant for lubricating the rope. The lubricant comprises at least oil and thickener, which thickener in the lubricant comprises at least 10% or more of the mass of the lubricant.