In an electron diffraction pattern obtained by electron microscopy, a titanium material contains diffraction spots of a new phase (22) at positions separated from a virtual line connecting substantial centers of two diagonally adjacent diffraction spots of a parent phase (11), and does not contain diffraction spots of ω-phase (12). After α-phase (33) mainly appears together with a small amount of the ω-phase (12) in an early stage of an aging process, the new phase (22) appears while the ω-phase (12) disappears as the aging process proceeds. The aging process is carried out under a condition of a processing temperature of 300°C to 500°C and an aging time of 40 hours or more. In addition, this titanium material has a Vickers hardness Hv of 400 or more. In this manner, a titanium material in which the new phase precipitates and from which the ω-phase disappears by controlling phase transformation can be obtained. This titanium material is applicable to a rolling device.
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