Presence of alternate double bonds in a molecule is considered as conjugation.The molecule is said to be conjugated.
For example 1,3-Butadiene is a conjugated diene while 1,4-Pentadiene is not conjugated though it has two double bonds.
Conjugated diene, all carbons are sp2 hybridised. A non conjugated diene The 3rd carbon is sp3 hybridised
Influence of conjugation on structure: See in the topic of resonance.