As part of their annual Child Safety Week (1-7 June) the trust, which aims to reduce the number of children in accidents, reported that there are more serious and fatal injuries to school-age pedestrians between 3-7pm, than at any other time of the day.
They also reported that children are more likely to suffer burns between 3-6pm.
Katrina Phillips, Chief Executive, Child Accident Prevention Trust said: "Parents are up against it to get everyone home, tea on the table, clothes ironed and tired children into the bath. It’s hardly surprising safety measures get missed."
The trust also found that hot drinks were the most common cause of serious burns, followed by irons, kettles, cookers and boiling hot bath water.
Their report stated that children aged from birth to two years old are most likely to be affected by burns, and almost half of all injuries occur to children within this age range.
For road accidents, injuries reach peak at 3-4pm, which is the time most children are leaving school and heading home.
From 2008-2012, 3,500 children were killed or seriously injured on the roads between 3pm and 7pm, which is 13 children every week.
Dr Asif Rahman, Consultant in Paediatric Emergency Medicine at St Mary’s Hospital, Imperial College Healthcare NHS Trust, London, said: "Parents often blame themselves and feel the accident was their fault.
"They'd do anything to prevent the pain their child is suffering. That is why campaigns like Child Safety Week are so important, to raise awareness of the simple things that families can do to stop serious injuries happening."
During Child Safety Week, CAPT wants to equip families with knowledge about the risks to children and the simple steps they can take to prevent them from happening.
Phillips added: “Simple changes to teatime routines can protect children from serious harm – whether that’s putting your mug of tea out of reach or practising road safety on the walk home from school."
The charity have provided resource packs and guides on their website with tips, quizzes and accident prevention information for both children and adults.