It's fine to walk the other way, too, from Manhattan to Brooklyn. Just remember to take time to look back!
Either way, you can enjoy fabulous views of the Statue of Liberty, New York harbor, the East River, and other NYC bridges.
Take a Walking Tour of Dumbo (with photos)
And, for general information: A Visitors Guide to Brooklyn, NY
How Long does it Take to Walk Across the Brooklyn Bridge?
And, if you want to, you can also stay in a hotel on the Brooklyn side of the Brooklyn Bridge! Hotels near the Brooklyn Bridge

