The photoproduction of K-0 and Lambda on the deuteron was measured in order to investigate the gamma n -> K-0 Lambda reaction process near the threshold (E-gamma = 0.8-1.1 GeV). K-0 and Lambda events were clearly seen in the pi(+)pi(-) and the p pi(-) invariant mass spectra, respectively. The momentum spectra of the gamma d -> (KX)-X-0 and the gamma d -> Lambda X reactions were derived. Additionally, the energy dependence of the integral cross section for the Lambda production was also obtained. The K-0 momentum spectra were in agreement with the previous results within statistical errors. The angular distribution of the gamma n -> K-0 Lambda reaction in the center of mass system was extracted and it had the backward distribution. The total cross section of the gamma n -> K-0 Lambda reaction, which was estimated by subtracting the contribution of K+Lambda process from the Lambda production on the deuteron, was almost the same as that of the gamma p -> K+Lambda.