  Dilaton and axion are ubiquitous in extended supergravities and closed
superstrings. We propose new models of modular inflation in four-dimensional
$N=1$ supergravity coupled to the chiral dilaton-axion-goldstino
supermultiplet, which fit some necessary conditions of superstring cosmology.
The model parameters are tuned to obey precision measurements of the cosmic
microwave background radiation. We employ the modular-invariant superpotentials
and asymptotically modular-invariant K\"ahler potentials, and achieve axion
stabilization with high-scale supersymmetry breaking.
