The invention provides a pure titanium or titanium alloy ultrafine wire preparation technology. The pure titanium or titanium alloy ultrafine wire preparation technology comprises the following stepsof (1) carrying out the first round of drawing on pure Ti or Ti alloy wire blanks with one to twenty wire drawing dies, controlling the drawing speed to range from 10 meters per minute to 40 meters per minute and the deformation amount of one single drawing die to range from 5% to 15%, and adopting aquadag or tempered lubricating oil as a lubricant during drawing; carrying out the step (2) and thestep (3) when the cumulative deformation is equal to or smaller than 60%; and completing the step (2) to obtain the pure titanium or titanium alloy ultrafine wires with the diameters ranging from 0.03 millimeter to 0.07 millimeter when the cumulative deformation is larger than 60%; (2) carrying out the first time of intermediate annealing treatment on the wire materials subjected to drawing deformation, and controlling annealing conditions; and (3) returning the wire materials subjected to the first time of intermediate annealing to the step (1) till the pure titanium or titanium alloy ultrafine wires with the diameters ranging from 0.03 millimeter to 0.07 millimeter are obtained.