  The Concepts of poly-Bernoulli numbers $B_n^{(k)}$, poly-Bernoulli
polynomials $B_n^{k}{(t)}$ and the generalized poly-bernoulli numbers
$B_{n}^{(k)}(a,b)$ are generalized to $B_{n}^{(k)}(t,a,b,c)$ which is called
the generalized poly-Bernoulli polynomials depending on real parameters
\textit{a,b,c}. Some properties of these polynomials and some relationships
between $B_n^{k}$, $B_n^{(k)}(t)$, $B_{n}^{(k)}(a,b)$ and
$B_{n}^{(k)}(t,a,b,c)$ are established
