Na1+xV2O5 (x=0.04 and 0.10) powder were synthesized by solid-state reaction under the condition of excess NaVO3 with the protection of pure Nitrogen. Both of them showed a typical S=1/2 onedimensional (1D) antiferromagnetic Heisenberg linear chain behaviour at high temperature. At lo temperature region, Na1.04V2O5 displayed a spin-Peierls like transition at 35 K. The susceptibility of Na1.10V2O5 increased with the decreasing of temperature, without spin-singlet transition. The increase of the susceptibility in Na1.10V2O5 at low temperature results from the isolated V4+ ions distributed in the nonmagnetic V5+ chains due to the electron doping. The Curie-Weiss fitting between 4K and 10K indicated that the electron doping in α-NaV2O5 induces the Curie term and thus results in the suppression and disappearance of the spin-singlet.