Does any Nikon lense work with Nikon DSLR?

I'm looking to upgrade my camera and just wondering if all my lenses will work with any other Nikon DSLR?

Yes and no.

Any advanced dSLR can use any Nikkor AF, AF-I or AF-S lens as well as much older manual focus AI lenses. For instance, I have a Nikon F4 35 mm SLR camera that can use the identical lenses my D300 and D3 uses.

What can happen, is that someone will buy the least expensive entry level Nikon dSLR and try to save a few quid and buy older Nikkor lenses. These entry level cameras cost less because they fewer components like an internal auto-focus motor. This is usually not an issue since all the focal length lenses can be purchased as AF-S lenses and are faster at auto-focusing, something important if you shoot action or sports.

Since you are upgrading from one Nikon body to the next, all your lenses should work just fine, especially if you are upgrading to something like the Nikon D7100

It should be compatible- if not, there are converters that you can use. The size of the end where you attach is the only thing that would be an issue.

Yes.

This is where Nikon really has an advantage over Canon. Nikon has two lens lines - one designated as "DX" that are the lenses designed specifically for crop sensor Nikon DSLR cameras such as the D3100, D3200, D5100, D90, D5200, D7000, D7001 and D300S and another lens line designated as "FX" that are the lenses designed for full-frame Nikon DSLR cameras such as the D600, D800, D3X and D4.

However, unlike Canon whose EF-S lenses can't be used on their full-frame DSLR cameras, a Nikon "DX" lens CAN be used on a Nikon "FX" DSLR body by simply setting the full-frame camera body to crop the sensor to the size of a "DX" sensor. You lose part of the resolution of the full-frame sensor but at least you can use your "DX" lenses on an "FX" body.