We consider two sequences of polynomials, which are denoted by $U{n_{n,m}^{(k)}}$ and $V{n_{n,m}^{(k)}}$, where $k,m,n$ are nonnegative integers, and $m \geq 2$. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials. For example, if $m=2$, then we obtain exactly the Fibonacci and Lucas polynomials. If $m=3$, then polynomials $U_{n,3}^{(k)}$ and $V_{n,3}^{(k)}$ were considered in papers (G. B. Djordjevi\'c, Fibonacci Quart. 39.2(2001), and G. B. Djordjevi\'c, Fibonacci Quart. 43.4(2005)).