The ability of CBD and CBG to attenuate the neurotoxicity induced by two insults involving oxidative stress (hydrogen peroxide, H2O2) and mitochondrial dysfunction (rotenone) was evaluated in neural cell cultures. The involvement of CB-1 and CB-2 or 5-HT1A receptors was investigated. The neuroprotective effect of their respective acids forms, cannabidiolic acid (CBDA) and cannabigerolic acid (CBGA), was also analyzed. MTT and immunocytochemistry assays were used to evaluate cell viability. No significant variation on cell viability was per se induced by the lower concentrations tested of CBD and CBG or CBDA and CBGA; however, high concentrations of CBD, CBDA, or CBGA were toxic since a 40–50% reduction of cell viability was observed. CBD and CBG showed neuroprotective effects against H2O2 or rotenone; however, both compounds were more effective in attenuating the rotenone-induced neurotoxicity. A high concentration of CBDA reduced the rotenone-induced neurotoxicity. WAY100635 (5-HT1A receptor antagonist) but not AM251 and AM630 (CB1 or CB2 receptor antagonists, respectively) significantly diminished the neuroprotective effect induced by CBG only against rotenone.