Celebrities have been called out for posting photos of their babies in sleeping positions which can be fatal.
The charity claimed influencers posting snaps of infants nestled down on pods, nests or on soft surfaces could be "unintentionally promoting unsafe practices or products" to millions.
Among those culpable of posting photos of their babies in risky positions are Kim Kardashian, Hilary Duff, Sophie Ellis-Bextor and Amy Childs.
Jenny Ward, acting chief executive of The Lullaby Trust, said: " In the age of social media, celebrities have more influence than ever over parents and consumers.
"When it comes to sharing images of their babies, it is important for them to keep in mind that their photos might be unintentionally promoting unsafe practices or products.
"Around five babies a week die of sudden infant death syndrome in the UK and the latest available figures from the Office for National Statistics showed that number went up in 2016.
"It is vitally important that parents are aware of advice on how to sleep their baby safely, if all parents had access to this information many lives could be saved.
"However, images depicting celebrities sleeping their babies unsafely give mixed messages to parents and make this task much more difficult.”
The charity claimed some celebrity baby photos feature products that are not recommended such as pods or nests.
Many of these products are available on the high street but do not comply with evidence-based safer sleep advice.
There was a marginal rise in cot deaths between 2015 and 2016.
The number of cot deaths in the UK among babies younger than a year rose from 216 to 2015 to 240 in 2016.
Parents are advised to lay their babies down on their back on a firm flat mattress without cushioned areas.
Nothing should be used to strap the baby into position.
Pillows, cot bumpers and soft bulky bedding are also a no go as they can restrict a baby's airways.
Jenny added: "It is known that products featured in celebrity photos tend to become popular with consumers.
"Parents are already faced with an overwhelming number of baby products and working out what to buy for a new baby can be difficult and confusing.
"Many people make the reasonable assumption that if an item is used by a celebrity and sold on the high street it is okay for their baby. However, we know that this is not always the case."