I bought Nikon d3200 dslr. Which type of lenses fit on my SLR?

Like in Nikon many type of lenses so for my SLR I have to buy DX lense or other type lense fit?

You can buy ANY Nikkor AF-S lens, both DX or FX. They both will work just fine on your D3200

http://www.nikonusa.com/...index.page

And here is a link that will show you what each focal length lens sees

http://imaging.nikon.com/...simulator/

You can use any of the new "G" type lenses, DX of FX, as well as the older "AF-S" and AI lenses. However, some of the AI lenses and all the older "AF" lenses don't have have autofocus motors in the body and thus can't autofocus but can still be used with manual focus.