The Vinnie Pack, which was created by the St Vincent de Paul Society, contains toiletries, a hat, gloves, socks and a thermal blanket.
The organisation is to distribute 1,000 of the kits around the city.
One of those who has benefited from the packs is Carl Chadwick from Leeds, who has been sleeping rough for more than two years.
He told BBC London 94.9 why he felt they would help homeless people in London.
Tags: Anti-poverty strategies, Homelessness, London, SVDP