Speaking at the Pearce Institute in Govan, he used the example of the city's first Labour MPs in the 1920s to outline the values he said were shared across the UK.
He said he was going to promote the positive case for the benefits of being in the United Kingdom and said the values that were espoused by the city's first Socialist MPs were the same values that are better served by remaining part of the Union.
He said resources of the UK were better "pooled and shared" to work for social justice and economic fairness.
Mr Brown made his case as he addressed a Labour Together event in front of MPs, MSPs councillors and party activists.
He criticised the SNP, claiming it had no vision and said the party's arguments were falling apart under scrutiny.
Mr Brown said:"Ninety years ago in Glasgow, politics in Britain changed with the election of Labour MPs."
He said politicians such as James Maxton, John Wheatley and Neil Maclean set out a vision of social rights, education and healthcare for all. Mr Brown said: "It is not just a 1922 vision. It is relevant for today."
He said he was projecting a positive vision of a future UK with shared resources. He said Scotland benefitted from the pooling of resources because while it had 8.6% of the UK population, it received 9% of money spent on pensions, the same proportion as London, with 13.5% of the population.
He said: "We allocate resources on the basis of need, not nationality."
Mr Brown criticised the SNP plans on currency, pensions and corporation tax. Scotland receives £3billion a year from corporation tax but he said Nationalist plans to cut the levy could see this reduced to £1.5bn.
"That is money taken from services. That is money you cannot spend on pensioners. That is money you cannot spend on education. That is money you cannot spend on welfare," Mr Brown argued.
He said the plans for a separate Scotland, but allowing the rest of the UK to set interest rates and employment targets was "an amazing policy".
Scotland, he argued would be left in the position of having others set economic conditions but with no Scottish representation.
As Mr Brown was speaking, First Minister Alex Salmond was outlining his vision for independence to an audience in Fraserburgh, Aberdeenshire.
He praised the achievements of the Scottish Parliament over the last decade, such as introducing free personal care for the elderly, free university tuition and the smoking ban. But he said Scotland could do more with independence.
"The people of Scotland will draft a new constitution," he said. "The UK is the only country in the Commonwealth and the only country in Europe without a written constitution. A constitution is vital."