We introduce a new class of models of chaotic inflation inspired by the superconformal approach to supergravity . This class of models allows a functional freedom of choice of the inflaton potential V = |f ( \phi ) | ^ { 2 } . The simplest model of this type has a quadratic potential m ^ { 2 } \phi ^ { 2 } / 2 . Another model describes an inflaton field with the standard symmetry breaking potential \lambda ^ { 2 } ( \phi ^ { 2 } - v ^ { 2 } ) ^ { 2 } . Depending on the value of v and on initial conditions for inflation , the spectral index n _ { s } may take any value from 0.97 to 0.93 , and the tensor-to-scalar ratio r may span the interval form 0.3 to 0.01 . A generalized version of this model has a potential \lambda ^ { 2 } ( \phi ^ { \alpha } - v ^ { \alpha } ) ^ { 2 } . At large \phi and \alpha > 0 , this model describes chaotic inflation with the power law potential \sim \phi ^ { 2 \alpha } . For \alpha < 0 , this potential describes chaotic inflation with a potential which becomes flat in the large field limit . We further generalize these models by introducing a nonminimal coupling of the inflaton field to gravity . The mechanism of moduli stabilization used in these models allows to improve and generalize several previously considered models of chaotic inflation in supergravity .