<p>In this paper, a meshless Hermite interpolation (MHI) method is presented for the dynamic analysis of laminated composite curved elliptical pipe. Hamilton’s principle and first-order shear deformation theory (FSDT) are adopted to establish the theoretical formulation for the laminated composite curved elliptical pipe. The curved pipe is divided into two open curved shells, and the displacement components of each open curved shell are approximated using the MHI shape function with a Hermite polynomial basis. The boundary conditions and coupling conditions of the open shells are enforced using the artificial spring technique. The accuracy and reliability of the proposed method are verified by comparing the numerical results with those from the literature and the commercial tool ABAQUS. Finally, the effects of geometric dimension, boundary conditions, and type of external load on the free vibration and dynamic response of the laminated composite curved elliptical pipe are presented.</p>