A method of and apparatus for feeding tobacco pneumatically from a common supply station and substantially continuously to a number of cigarette making machines, in which tobacco is drawn from a common tobacco-spreading feed table at the supply station by a number of pipes leading to the respective cigarette making machines at an average controlled rate for each pipe which corresponds to the rate at which tobacco is used by the corresponding cigarette making machine.In one preferred form of apparatus, each feed pipe includes a buffer which receives all the tobacco drawn intermittently into the pipe and from which tobacco is fed continuously at a variable rate into a downstream portion of the pipe.