A tractor beam was a beam of energy projected from a vessel or device which could tether and pull another object. The Doctor's TARDIS could create a tractor beam with the help of the the Master's laser screwdriver (VG: TARDIS). The Fourth Doctor used his TARDIS' gravity tractor beam to hold a neutron star still while Erato used his ship to weave a protective shell around it. In the process, the tractor beam burned out. (DW: The Creature from the Pit)
It had been repaired by the Doctor's tenth incarnation when he used it to save the Sanctuary Base 6 rocket from a black hole. (DW: The Satan Pit)
During the end of the Doctor's encounter with a pan-dimensional being, his TARDIS got caught in a tractor beam heading towards Lakertya caused by the Rani. (PDA: Spiral Scratch/DW: Time and the Rani)
The Doctor's TARDIS also had an Anti-gravity spiral that had similar properties to a tractor beam. (DW: Delta and the Bannermen)
Chula Warships, such as the one stolen by Jack Harkness, possessed a tractor beam. (DW: The Empty Child/The Doctor Dances)
K9 Mark 2 possessed a tractor beam which could pull an object as large as an adolescent humanoid, (K9TV: Fear Itself) he could also use it to absorb microscopic objects. (K9TV: Black Hunger)