  In the present paper, a class of new simple modules over the $N=1$ Ramond
algebra are constructed, which are induced from simple modules over some finite
dimensional solvable Lie superalgebras. These new modules are simple restricted
modules over the $N=1$ Ramond algebra. Combined with the result in \cite{L1}, a
classification of simple weak $\psi$-twisted $\bar W(0,c)$-modules under
certain conditions is also given. At last, some examples of simple restricted
$N=1$ Ramond modules as various versions of Whittaker modules are presented
(classical Whittaker modules were studied in \cite{LPX}).
