To manufacture a titanium pipe at a low cost without making a rolling flaw occur on the outside surface of the pipe by Mannesmann rolling method.

After coating by thermal spraying or application of a metal containing 90% Al or over on the surface of a pipe material whose stock is a titanium-based alloy containing 0.2% class 1 or 2 of Pd, Ru or below respectively, if necessary, in either of pure titanium, α based-titanium alloy or α+β-based titanium alloy, the manufacture of a titanium-based seamless pipe excellent in prevention of the occurrence of a rolling flaw, by which the pipe is manufactured by an inclined rolling system, is attained.