The health-promoting effects of natural phenolic compounds are attracting growing interest. In this study, we tested four plant extracts, namely basil, juniper, laurel and parsley, and two well-known pure phenolic compounds of natural origin, curcumin and resveratrol, for their possible cytotoxic effects in vitro. AraC was used as an apoptotic reference compound. The pure compounds were studied in two cell lines, SH-SY5Y neuroblastoma and CV1-P fibroblast cells, and the plant extracts in SH-SY5Y cells. Cytotoxicity was examined by MTT and LDH assays, and the molecular mechanisms by Western blot analysis of p53 protein in cells. Juniper extract decreased the cell viability and increased the amount of p53 in SH-SY5Y cells at lower concentrations than did other plant extracts, and its effects on the amount of p53 in cells were comparable to the treatment with 50 μM AraC. The actions of curcumin and resveratrol were dependent on the concentration and cell line. Curcumin decreased the cell viability and increased the amount of p53 in SH-SY5Y cells more effectively than in CV1-P cells. The comparison between the results of AraC and pure curcumin showed a similar effect on the amount of p53. Our results indicate a potential role of plant extracts and plant-derived compounds as health-promoting food constituents, as well as candidates for drug development.