In the Lubin–Tate setting we study pairings for analytic (\varphi_L,\Gamma_L)-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Riou's big exponential map as developed by Berger and Fourquaux and a p-adic regulator map whose construction relies on the theory of Kisin–Ren modules generalising the concept of Wach modules to the Lubin–Tate situation.