In this paper, we consider the following singularly perturbed fractional Kirchhoff problem \begin{ equation*} \Big(\varepsilon^{ 2s}a+\varepsilon^{ 4s-N} b{ \int_{ \mathbb{ R}^{ N}}}|(-\Delta)^{ \frac{ s}{ 2}}u|^2dx\Big)(-\Delta)^su+V(x)u=|u|^{ p-2}u,\quad \text{ in}\ \mathbb{ R}^{ N}, \end{ equation*} where $a,b>0$, $2s<N<4s$ with $s\in(0,1)$, $2<p<2^*_s=\frac{ 2N}{ N-2s}$ and $(-\Delta )^s$ is the fractional Laplacian. For $\varepsilon> 0$ sufficiently small and a bounded continuous function $V$, we establish a type of local Pohoz\v{ a}ev identity by extension technique and then we can obtain the local uniqueness of semiclassical bounded solutions based on our recent results on the uniqueness and non-degeneracy of positive solutions to the limit problem.
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