Abstract Taking into account the composite material damping and elastic behavior, the dynamic response of thin-walled FRP pipelines made of symmetric and balanced laminate, under moving singular pressure shock is derived. The methodology is based on double integral transforms and generalized functions’ properties. An analytical inversion of the derived Laplace transform is achieved and implementation of the solution on a long multi-layered E-Glass/Epoxy FRP pipeline under fluid-hammer conditions is discussed.