Resonance occurs when more than one valid Lewis structure can be drawn for a molecule without changing the arrangement of atoms.

Resonance Structures for SO2 (Sulfur dioxide)

And example of resonance structures for a molecule.

Resonance Structures for CO3 2- (Carbonate ion)

Another example of resonance structures.

Resonance Structures for N2O (Nitrous oxide)

A more advanced molecule with resonance.