  The gamma + D -> Lambda + Theta+ and gamma + D -> Sigma + Theta+ reactions
can be used to determine the width of Theta+ almost model-independently. We
calculate the differential cross sections of the gamma +D -> Lambda + Theta+,
gamma + D -> Sigma + Theta+ and relevant background reactions in the photon
energy range 1.2 < E_{\gamma} < 2.6 GeV. We determine the most favorable
kinematic conditions and observables for the experimental studies of Theta+ in
the considered processes. We argue that a comparison of the gamma + D -> Lambda
+ Theta+ and gamma + D -> Sigma + Theta+ cross sections should unambiguously
determine isospin of Theta+.
