Abstract submitted to the XXXth International Conference on High Energy Physics July 27 - August 2, 2000, Osaka, Japan _________________________________________________________________________ Measurement of diffractive photoproduction of vector mesons at large momentum transfer at HERA ZEUS Collaboration Abstract Elastic and proton-dissociative photoproduction of rho^0, phi and J/psi mesons have been measured in e^+p interactions up to -t=3 GeV^2, where t is the four-momentum-transfer squared at the photon--vector meson vertex, in the ZEUS detector at HERA. The average gamma-proton centre-of-mass energy = 94 GeV. The differential cross sections, dsigma/dt, for rho, phi and J/Psi mesons and the spin-density matrix elements for the rho have been measured. The Pomeron trajectory has been derived from the W dependence of the elastic differential cross-section dsigma/dt for both rho and phi mesons.