Symmetrized elastic moduli of high-quality single-crystalline CeRu2 ha
ve been measured between 2 and 300 K by means of an ultrasonic techniq
ue. Both transverse moduli (C-11 - C-12)/2 and C-44 soften markedly fr
om 300 to similar to 20 K without structural transition. In contrast,
the bulk modulus C-B shows a normal temperature dependence without sof
tening. These results indicate that there exists a marked structural f
luctuation corresponding to a pure transverse strain in the normal con
ducting state of CeRu2. Our analysis, taking account of the deformatio
n potential coupling, reveals that a narrow band with relatively high
density of states at E(F) is responsible for the huge lattice softenin
g.