New York City is also safe at night, because the streets have lots of lights and people walk around all the time. The safest place I've ever been in the world, I've felt safer walking the streets of New York (looking for food due to the time lag) than in the cities in England where I've traveled a good number of times alone, and New York is one of the safest places I've ever been to, if not *the*. The same goes for what others have said about street intelligence, know where you have your belongings and walk with confidence. Even our toughest areas (the South Bronx, Eastern New York) are far from being the most difficult neighborhoods in the country.
While New York's densely populated areas are safe for the most part, small-time thieves love crowded tourist neighborhoods. The safest place I have ever been in the world, I have felt safer walking the streets of New York (looking for food due to the time lag) than through the cities of England. Keep in mind that crime rates vary by neighborhood and your itinerary will most likely not include traveling to neighborhoods that are off the beaten path, so you should be fairly safe in New York City. New Yorkers love tourists, so much so that you can always ask someone for help with directions or if you need any other kind of help.
AmsterdamBerlinBostonCharlestonChicagoDubailLisbonLondonLos AngelesMiaminashvilleNew YorkNew OrleansParisPhiladelphiaPragueromanSan FranciscoWashington DC. Walking across the Brooklyn Bridge is quite safe during the day, as tourists and locals cross the bridge all year round. This post covers important information about safety in New York City and 7 tips on how to stay safe in New York City based on local opinions. During the day it is safe to visit DUMBO, but at night fewer people come out, since it is mainly a residential building with some streets full of shops.
The Financial District also includes the neighborhoods of Southstreet Seaport, Battery Park City and TriBeCa, which are safe during the day, but quieter and less populated late at night because they are residential. For most of these neighborhoods, the same safety label applies to Midtown, with a few exceptions. The tourist areas you'll probably want to visit in Manhattan are safe, although the above rules apply anywhere in New York.