We have measured the neutron electric dipole moment using spin rotation in a non-centrosymmetric crystal. Our result is d_n=(2.5±6.5^stat±5.5^syst).10^-24ecm. The dominating contribution to the systematic uncertainty is statistical in nature and will reduce with improved statistics. The statistical sensitivity can be increased to 2.10^-26ecm in 100 days data taking with an improved setup. We state technical requirements for a systematic uncertainty at the same level.