Verified answer

Absolutely. All Nikon AF-S lenses will mount, meter, & autofocus with the D3200.

Here's a complete list (updated regularly) of autofocus lenses for the D3200 and other Nikon entry level DSLR's.

http://en.wikipedia.org/wiki/List_of_Nikon_F-mount...

The 35mm f1.8 AF-S DX might be a better general purpose lens. It is the 135 equivalent of 52.5mm for a normal perspective. With that lens and a good tripod you might actually see some detail captured by those 24 megapixels.

For portraits get the Micro Nikkor 60mm f2.8 AF-S.

Great lens for portraits.