The Doncaster-based group said full-year pre-tax profits rose from £10.7m to £64.5m in the year to July 30 after sales rose 7.4% to £980.4 million, which the group said was a record set of results.
Chairman Richard Baker said: "DFS has weathered many forms of political and economic turbulence during its 47 years of operating history, and I have confidence that we will continue to be well positioned despite the uncertainties inevitably surrounding the EU referendum."
Despite DFS saying that it has not experiences a drop in demand following the Brexit vote, chief executive Ian Filby said the furniture sector faces an "increased risk of a market slowdown" in 2017.
He warned that additional cost pressures from foreign exchange movements and an "intensely competitive" environment could hinder growth.
Caroline Gulliver, equity analyst at Jefferies, said: "Consumer incomes have not changed and consumer confidence has recovered (for now).
"Although that could change given the risk to UK consumer confidence from the fallout from the EU, the impact of rising inflation next year and the threat to UK unemployment from technology substitution."
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