Lorentz and CPT violation can produce unique effects on neutrino oscillations. We investigate neutrino oscillations by applying a massive perturbative Lorentz and CPT violation method. We performed this procedure on two-flavor solar neutrino oscillations in vacuum and we considered only neutrino-neutrino oscillation. We obtained first-order oscillation probabilities. Then we use the data from SNO-Phase II experiment to constrain some coefficients of neutrino sector of Lorentz violation. Coefficients of ee part are constrained for the first time. Limits on CPT-violating part are and , these coefficients have GeV dimension. Limits on CPT-conserving part obtained and that these coefficients are dimensionless.