David McDonald initially hoped to create the resource in his Greater Pollok ward and, in January, the Evening Times revealed his proposal to introduce food banks into local libraries to help the increasing number of hungry people.
This prompted more than 100 responses from those in need, as well as people and businesses across Glasgow who wanted to help.
Mr McDonald said: "I had about 50 e-mails alone, ranging from families who had to eat toast for Christmas dinner because they struggled to afford it and working families running out of money before the end of the month, to people who wanted to support a local food bank and businesses offering to help."
Benefit cuts, unemployment and rising living costs have led to a steep increase in the number of hungry people in Scotland turning to food banks.
Councillor McDonald is now working alongside The Trussell Trust charity to develop a food bank for people living across three wards –Greater Pollok, Craigton and Govan, which have a combined population of nearly 93,000.
He hopes to set up distribution centres and collection points in each of the wards, as well as a base, and is calling on local businesses, organisations and volunteers to get involved.
A public meeting is being held on Thursday to discuss the plans and gather support and anyone who wants to help or needs the assistance of a food bank is asked to go along.
Councillor McDonald said: "I have been humbled by the offers of help and the enthusiasm from people willing to do something to help those in need.
"I want to take the politics and the perceived negativity out of food banks. Using food banks to score political points helps no one. Action is needed now to meet the need in our communities."
Ewan Gurr, Scotland development officer for the Trust, which has helped feed more than 7000 people in Scotland since last April, said: "We are calling communities to work together and pool their resources again to make a difference for their neighbour in time of need."
l The meeting to discuss the large-scale south west Glasgow food bank is on Thursday at Ibrox Parish Church, Clifford Street, at 7.30pm.