Babies who are not breastfed and those exposed to tobacco smoke are also more at risk.
New guidance from the NHS is due to be published in December on the risks attached to parents “co-sleeping” with their baby.
Unusually in 2012, the same proportion of unexplained deaths occurred in the summer and winter.
Winter is normally a higher risk but the 2011/12 winter was the warmest for five years.
Death rates in 2012 were three times higher for low birthweight babies, while the risk to babies born to mothers under 20 was almost three times higher than average.