The survey comes a year after the report by Mothers' Union chief executive Reg Bailey, entitled Letting Children Be Children, which called on businesses and broadcasters to play their part in protecting young people from the "increasingly sexualised wallpaper surrounding them".
The CIM is calling on the Government to work directly with the marketing industry to "deal with these pressing issues once and for all".
David Thorp, director of CIM research, said:
"It's clear that parents still have very real concerns about the way some companies try to sell to children. The marketing profession needs to address these concerns but we also want a dialogue between parents, the Government and industry bodies to ensure that our solutions are lasting and effective.
More top news
Tina Drayson posted CCTV footage on her Facebook page on Friday. It shows two men leaving the property in Cranleigh in Surrey at 4:30pm.
Friends of a 15-year-old girl from Smethwick who died after losing her battle with cancer are paying tribute to her.
Lewis Hamilton admitted to being worried that the new double points system for the final race might have seen him miss out on the title.