A collapsible tube dispenser is disclosed for use with collapsible tubes that contain highly viscous materials, such as silicone gasket RTV. The dispenser provides two engaging plates for squeezing the sides of a collapsible tube, which causes the contents of the tube to be expressed from its open end. The dispenser also includes two handles which can be gripped by a single hand of a human user. When the handles are kept apart from one another, a collapsible tube can be inserted into the gap formed between the engaging plates of the dispenser. When the handles are squeezed together, the engaging plates apply force to the sides of the tube, thus squeezing out a very controlled amount of highly viscous material. The dispenser is very easy to use, in that it can produce a bead of highly viscous material upon a target having a very narrow line width, and having great positional accuracy.