The Living Wage Campaign calls for every worker in the country to earn enough to provide their family with the essentials of life, and recently called for it to be increased by 5p to £7.20, their estimate of a living wage.
And Mr Kelly has urged the Scottish Government to roll out the new rate to all workers in their employment.
Mr Kelly said the SNP administration is failing to pay almost 1000 of its own staff the rate of £7.15, despite government saying that they should.
The local MSP said: “Low pay continues to play a depressingly significant role in keeping huge numbers of Scottish workers and their families living in poverty.
“With hardworking Scots, especially the lowest paid, already feeling the strain on family budgets with soaring food, petrol and energy bills this increase in the Living Wage is very important and has the potential to help many of my constituents.
“We must make it our mission to lift all Scots out of poverty, and ensuring a decent wage for the lowest paid in our society is key way of achieving that goal.
“The Scottish Government controls the wage packets of thousands of workers and is failing to pay many of its staff even the previous lower Living Wage.
“The Holyrood government must take this opportunity to lead by example and ensure all employees receive the new rate as soon as possible and take steps to roll the Living Wage out across the public sector.”
The Scottish government define a Living Wage as a wage that gives individuals and families enough income to meaningfully participate in society, rather than merely provide the minimum income necessary for basic necessities.