The word 'safe' is relative. some parts of the Dominican Republic are unsafe for example like the capital Santo Domingo are unsafe. Punta Cana is very safe to get around but of course, you should always use common sense, don't invite trouble, be aware of your surroundings, etc. Dominicans are friendly, welcoming, helpful people, but there is poverty that drives crime, like anywhere. One thing is for sure Punta Cana is no less safer than some parts of NY or NJ. Any good Dominican will tell you to be smart in the street at night or in desolate areas, but I think the common criminal avoids foreigners fearing more punishment
HERE ARE FEW THINGS TO KEEP IN MIND