Legal firm Russell Jones & Walker said, although refusing to admit liability, the firm and its insurers had agreed to make full damages awards.
The individual amounts will be dependent on the severity of the injuries and will be invested until the children reach 18.
The children were aged between one and eight when they were hurt, with some cases dating back to 2003.
Many needed surgery after losing part of their finger when the buggy was erected, while others fractured bones or suffered deep lacerations.
In 2009 Maclaren recalled one million prams in the US after reports of similar injuries but, said the lawyers, it insisted that UK buggies were not affected and a recall has not taken place in this country – hinge covers are available but consumers must request them via the firm’s website.
Senior litigation partner Richard Langton, who led the group litigation, said: “We’re delighted to get the agreement within three months of being instructed to act, and it proves the adult opening the buggy is not in any way at fault.
“But compensation doesn’t turn the clock back for the traumatised children or their parents.
“Millions of buggies remain in use and despite claims from Maclaren that there are insufficient cases in the UK to warrant a recall, injuries still occur. What all my clients want is that no one else suffers needless injury.”
A Maclaren spokeswoman said later the company would look into each case individually, adding: “We are committed to fully recompense any child who’s been genuinely injured by finger entrapment in one of our products. We take the safety of children very seriously.”