In　this　paper,　a　quasilinear　shallow　water　model　for　moderate-amplitude　waves　with　the　effect　of　underlying　shear　flow　is　derived　from　the　governing　equations　in　the　two-dimensional　incompressible　fluid.　Such　a　model　serves　as　a　highly　nonlinear　generalized　Camassa–Holm　equation,　which　is　based　on　the　choice　of　depth　and　is　proceeded　for　the　case　of　a　linear　shear.　Moreover,　the　effects　of　non-zero　vorticity　and　nonlocal　higher　nonlinearities　on　the　variation　of　the　depth　are　also　investigated.　©　2021　Elsevier　Ltd