We present a new model of D-term dominated chaotic inflation in supergravity.
The F-flat direction present in this model is lifted by the dominant D-term,
which leads to chaotic inflation and subsequent reheating. No cosmic string is
formed after inflation because the U(1) gauge symmetry is broken during
inflation. The leptogenesis scenario via the inflaton decay in our D-term
chaotic inflation scenario is also discussed.Comment: 14 pages, no figure, to appear in Phys. Rev.