Gordon and Luecke showed that knots are determined by their
complements. Therefore a non-trivial Dehn surgery on a non-trivial
knot does not yield the 3-sphere. But the situation
for links is different from that for knots. Berge constructed
some examples of Dehn surgeries of 2-component links yielding
the 3-sphere with interesting properties. By extending Berge's
example, we construct infinitely many examples of tunnel number
one links in the 3-sphere, such that their components are
non-trivial, and that non-trivial Dehn surgeries on them yield
the 3-sphere.