  In this work, we obtain some necessary and some sufficient conditions for a
space to be nicely smooth, and show that they are equivalent for separable or
Asplund spaces. We obtain a sufficient condition for the Ball Generated
Property (BGP), and conclude that Property $(II)$ implies the BGP, which, in
turn, implies the space is nicely smooth. We show that the class of nicely
smooth spaces is stable under $c_o$ and $\ell_p$ sums and also under finite
$\ell_1$ sums; that being nicely smooth is not a three space property; and that
the Bochner $L_p$ spaces are nicely smooth if and only if $X$ is both nicely
smooth and Asplund. A striking result obtained is that every equivalent
renorming of a space is nicely smooth if and only if it is reflexive.
