No-one has a job in almost one in three homes in the city, and the problem has worsened over the last year.
The proportion rose from 28.7% to just over 30% in the 12 months to 2012, according to the Office for National Statistics (ONS).
Glasgow has been among the five UK areas with the highest rates of workless households for nine consecutive years - since the records began.
The city was followed in the table this year by Liverpool, Kingston upon Hull, Birmingham and Wolverhampton.
However, a number of other parts of Scotland also have high rates of homes in which no-one has a job. These include North Ayrshire, where the figure last year was 28%, Clackmannanshire, where it was 28.9%, East Ayrshire, 25.5% and Inverclyde, 25.5%.
The UK average was 18.1%.
Scots were more likely than those from England or Wales to list sickness or disability as the main reason for being out of work.
The ONS said some of the areas with the highest proportion of out-of-work households had been heavily industrialised in the last century.
It said: "Glasgow was once a major force in shipbuilding as well as other engineering, but competition overseas has seen that decline since the 1960s. Liverpool had a large manufacturing base and one of the UK's largest docks, which have both been in decline since the 1970s.
"Kingston Upon Hull also saw a decline in the heavy industries and fishing that dominated the area in the last century."
The lowest rates were in the south of England, with 10.6% in Hampshire and 11% in Buckinghamshire.
Iain McKenzie, the Labour MP for Inverclyde, described the figures as deeply alarming.
He warned: "With 25% of households in Inverclyde now classed as workless, it is clear the (Coalition) Government's approach to tackling unemployment is simply not working."
He also called on the Scottish Government to be "held accountable for its failure to tackle unemployment in Scotland".
Scottish Liberal Democrat leader Willie Rennie called on the two governments to work more closely together.
He said: "It's a depressing but familiar fact that so many people are out of work.
"Rebuilding the economy to create jobs, reforming the welfare system and cutting tax for low incomes to help make work pay and improving educational opportunities include through nursery education are steps the UK Government is taking to help people into work.
"Our two governments need to work closely together to give people hope."
Conservative Employment Minister Mark Hoban said: "Nationally, the number of workless households has fallen by more than 425,000 since the coalition took office.
"This is good news, but we know there are areas of the country where we need to do more."
Households were only counted if they contained at least one person aged 16 to 64.
Reasons given for being unable to work included family commitments, retirement, sickness and study.