Is Nikon D5100 and Canon EF-S 55-250mm f/4-5,6 IS compatible?

Below you will find your chosen camera and lens. Click on the product name for more information.

Buy	Nikon D5100 Released: 2011 Type: Digital SLR Sensor: DX / APS-C (1.5x) 16,2 Megapixels 4928 x 3264 pixels
Buy	Canon EF-S 55-250mm f/4-5,6 IS Released: 2007 Telephoto Lens (zoom) Suited for cameras with APS-C sensors Focal Length: 55-250 mm Aperture: f/4-5,6

Can you combine these two?

This is the short answer:

No! This combination is not compatible

The camera and lens you have chosen cannot be combined. Here is a longer answer:

A non-Nikon lens on a Nikon camera

This is a Canon lens and unfortunately they are not constructed to work with Nikon cameras. If the lens would have been a Sigma, Tamron och Tokina it would perhaps be different since they are available with a compatible Nikon mount.