In this paper, we consider the following incompressible logistic-type Keller-Segel coupled with Navier-Stokes system with flux limitation in \(\mathbb {R}^{2}:\) \(\begin{aligned}\,\, \left\{ \begin{aligned}&\rho _{t}+u\cdot \nabla \rho =\delta \rho -\nabla \cdot ((\rho f(|\nabla c|^{2})\nabla c)+\gamma \rho -\mu \rho ^2 ,\\&c_{t}+u\cdot \nabla c=\Delta c-c+\rho ,\\&u_{t}+u\cdot \nabla u+\nabla P=\Delta u-\rho \nabla \phi ,\\&\nabla \cdot u=0. \end{aligned} \right. \end{aligned}\) By virtue of the Fourier localization technique, we establish the global well-posedness for the above system with \(f(\zeta )= K_{f}\cdot (1+\zeta )^{-\frac{n}{2}}\) and \(n>0\) .
