In this paper the triangular vortex lattice in the nonlocal Gross-Pitaevskii model with the phenomenological dissipation is studied. The numerical solutions in the rotating frame of reference are obtained for the delta-like interaction potential with different coefficients of nonlocality. The strongly nonlocal interaction results in the packing of vortices for the rotating frequency lower than in the local model. Also, the larger the coefficient of nonlocality, the larger size of the density holes of vortices while keeping their number constant.