Part 1 will evaluate the safety and tolerability of single ascending doses of MGV354 compared to placebo in healthy male and female subjects. Part 2 will evaluate the safety and tolerability of MGV354 in a multiple ascending dose design (two highest tolerated doses from Part 1) compared to placebo when administered for 7 days to patients with ocular hypertension or glaucoma. Part 3 will explore the safety, tolerability and efficacy of a single dose level of MGV354 (maximum tolerated dose) compared to placebo when administered for 7 days in patients with ocular hypertension or glaucoma.