The figures were revealed after an analysis of official data from the Office of National Statistics, according to the party.
"The 49 per cent rise in the number of black and minority ethnic young people out of work for over a year since 2010 shows the Tory plan is failing," UK lawmaker and shadow work and pensions secretary Rachel Reeves was quoted as saying on the party's website.
Meanwhile, total long-term unemployment rates among young people have been falling.
Parliament member and shadow justice secretary Sadiq Khan stated that the figures show the government's "complacency towards Britain's ethnic minority communities."
According to the latest census data, about 13 percent of the United Kingdom's population is of non-white origin.
Last month, UK Prime Minister David Cameron of the Conservative Party, also known as the Tories, announced a new plan to curb youth unemployment. Cameron said that all 18- to 24-year-olds who have been out of work or training for half a year would be required to engage in community work, should the Conservatives win the 2015 election.
Labour, the country's main opposition party, has instead vowed to guarantee every young person unemployed for over a year a paid starter job and training.