The trolley, which has a specially designed seat that can carry a child weighing up to 70kg, is available for use at Coles Wanneroo, Beldon, Alexander Heights and Whitford.
Operations and supply chain director Andy Coleman said the trolley enabled parents or carers to put their shopping in the trolley while having their child seated safely.
"Pushing a wheelchair while also carrying a large shopping basket or pushing a shopping trolley at the same time is an impossible task," he said.
Australian Network on Disability deputy chief executive Jason Barker said it was a good initiative.
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"Shopping is a task that many of us take for granted " this initiative means families supporting a young person with additional needs will be able to get out and about and do the shopping more easily," he said.
The trolley, based on a US trolley known as "Caroline's Cart", has padding on the sides, a harness and additional support in its structure.