  We propose to introduce non-minimal couplings of Affleck-Dine (AD) field to
gravity by adding the coupling of AD field to the Ricci scalar curvature. As
the Jordan frame supergravity always predict $|\Phi|^2 {\cal R}/6$ type
coupling for scalars with canonical kinetic terms, we propose a way to realize
the required $c_0|\Phi|^2 {\cal R}$-type couplings with generic $c_0$ for
canonical complex scalar fields after SUSY breaking. The impacts of such
non-minimal gravitational couplings for AD field is shown, especially on the
Q-balls formation and the associated gravitational wave (GW) productions. New
form of scalar potential for AD field in the Einstein frame is obtained. By
numerical simulations, we find that, with non-minimal gravitational coupling to
AD field, Q-balls can successfully form even with the choice of non-negative
$K$ parameter for $\xi>0$. The associated GW productions as well as their
dependences on the $\xi$ parameter are also discussed.
