A tube connecting apparatus capable of stably and reliably connecting tubes in which liquid is contained and sealed is provided.In a tube connecting apparatus 1, a first clamp 6 and a second clamp 7 for pressing and holding tube 8, 9 are disposed in a contact state. When the second clamp 7 is driven to separate from the first clamp 6 by a second movement mechanism, the first clamp 6 is slid on the tubes by shafts 121 supporting the first clamp 6 in a vertically movable manner and is moved from a first position P1 to a second position P2. The tubes are squeezed with pressing force being gradually increased while the tubes are slid between inclined faces 67, 77 of a first engagement portion 68 and second engagement portion 78. Residual liquid inside the tubes is excluded by squeezing operation of the first clamp 6. The tubes from which the residual liquid is excluded are cut by a cutting plate 41, the tubes are moved by first and second movement mechanisms, and then the tubes are connected.