  We find the natural embedding of the (R+R^2)-inflationary model into the
recently constructed N=1 F(\cal R)-supergravity. It gives a simple and viable
realization of chaotic inflation in supergravity. The only requirement for a
slow-roll inflation is the existence of the (\cal R)^3-term with an anomalously
large coefficient in Taylor expansion of the F(\cal R) function, where \cal R
is the covariantly-chiral scalar supercurvature superfield.
