The invention discloses a hot continuous rolled titanium tape reeling method. In the initial reeling stage of a titanium tape, a heat output roller way (2), a pinch roller (5) and a reel (8) sequentially run in an advanced rate increased advanced running speed, and the respective advanced rates of all segments in the heat output roller way (2) increase progressively along the convey direction of the titanium tape; and in the late reeling period of the titanium tape, all the segments of the heat output roller way (2) sequentially run in a lagging rate decreased lagged running speed along the convey direction of the titanium tape, and the lagging rate in a range of 17%-20%. The stationary operation is guaranteed and bounces, bumpiness, scrapes and the like are avoided through the above technical scheme when the head or tail portion of the titanium tape runs under a tension-free condition. All equipment parameters and initial states are optimally arranged in the invention, and the reeling mode of the titanium tape is optimized to realize the stable, high-quality and efficient reeling of the titanium tape through using a hot continuous rolled reeling machine.