  In this paper, the author gives a complete set of simple Yetter-Drinfeld
modules over Suzuki algebra $A_{N\,2n+1}^{\mu\lambda}$ and investigates the
Nichols algebras over those irreducible Yetter-Drinfeld modules. The finite
dimensional Nichols algebras of diagonal type are of Cartan type $A_1$,
$A_1\times A_1$, $A_2$, Super type ${A}_{2}(q;I_2)$ and the Nichols algebra
$\mathfrak{ufo}(8)$. And the involved finite dimensional Nichols algebras of
non-diagonal type are $12$, $4m$ and $m^2$ dimensional. The left three unsolved
cases are set as open problems.
