چكيده فارسي :
In this paper, we consider two classes of 2-generator p-groups of Nilpotent class 2 as follows:
$G_{1}\cong(\langle c\rangle\times\langle a\rangle)\rtimes\langle b\rangle$ where $ [a,b]=c, [a,c]=[b,c]=1, \vert a\vert=p^\alpha,\vert b\vert=p^\beta, \vert c \vert=p^\gamma, \alpha,\beta ,\gamma\in N, \alpha\geq\beta \geq\gamma$,\\
$G_{2} \cong \langle a\rangle \rtimes \langle b\rangle $ where $[a,b]=a^{p^{\alpha-\gamma}}, \vert a\vert=p^\alpha,\vert b\vert=p^\beta, \vert [a,b] \vert=p^\gamma, \alpha,\beta ,\gamma\in N, \alpha= 2\gamma ~ and~ \beta = \gamma$,\\
and we will find the Fibonacci length of these groups.