Susan McGorm, 34, is offering the cuts on Sunday in the hope that the small gesture will “perk up” the people who take her up on her offer.
Ms McGorm said she wanted to do something to put out some “good karma” and help in whatever way she could.
She said seeing people on the streets had “spurred her on” to do something in her local community.
“You just feel terrible for them, a haircut might perk them up and make them feel more presentable”, she said.
“I was trying to think what I could do to help, other than donating money.
The salon, in the Broomhill area of Glasgow, is not currently open on a Sunday.
But Ms McGorm told BBC Scotland News that she hoped to run the event monthly if the service went down well.
She visited Glasgow city centre and the west end on Saturday night – along with friends, family and colleagues who are supporting her endeavour – to speak to people on the streets and tell them about the free haircuts.
She had prepared 50 care packages – each one containing a leaflet about the service, hats and scarves and sandwiches supplied for free by local cafes.
She speaking on Saturday afternoon, she said: “We’re just going to have a chat with them and ask them if they’d like to come along tomorrow.
“We’re going to start in town and work towards the West End”.
The pair did not know how many people to expect, but lined up a buffet – supplied by a local Morrison’s – and hot drinks for the customers who come along.
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