It follows concerns highlighted in a recent UN committee report about race discrimination.
It also recognises the recent sharp increase in racist hate crime following the EU referendum.
The report also calls for better accommodation for the traveller community in Northern Ireland.
Northern Ireland's traveller community still faces problems with health, education, housing and employment, adds the UN report.
NIHRC chief Les Allamby welcomed the call supporting Northern Ireland's travellers.
"The committee has highlighted the disparity in equality protection between Northern Ireland and the rest of the UK, calling for a Single Equality Bill to address this problem," he said.
"We raised these concerns directly with the committee in July and welcome that they have been incorporated into the UN report.
"We now need action to be taken by the Northern Ireland Executive to tackle these important issues and improve the quality of life and experiences of people from minority ethnic backgrounds in Northern Ireland."

The lender was the biggest faller on Germany's main stock market before paring back the losses.
Talks between chief executive John Cryan and the US Department of Justice ended without agreement at the weekend, according to reports.
The bank has been under intense pressure over the size of the fine.
Mr Cryan was in the US for the International Monetary Fund and World Bank's autumn meetings.
Some investors had hoped that while he was there, he might negotiate down a settlement for the bank's mis-selling of mortgage-backed securities.
Others, though, said it was always unlikely the bank could strike a deal with the US authorities so quickly.
Michael Hewson, chief market analyst at CMC Markets, said: "Deutsche Bank hasn't as yet been able to come to any agreement with the US Justice Department as it looks to overcome the hurdle of the prospect of a rather large fine.
"Talks are continuing while the bank looks at potentially spinning off a stake in its asset management division in order to free up some extra capital."
Terry Torrison, managing director at McLaren Securities, said the bank was "never going to sort out the US issues that quickly".
Deutsche Bank's shares touched 33-year lows at the end of September, before recovering slightly in recent days, over fears its finances are not strong enough to handle a large US fine.
The bank declined to comment on reports Mr Cryan had failed to reach a deal. The share price recovered to close slightly up by the end of trading.

The UK government sent the warship to aid search efforts in the Mediterranean amid a rise in the number of people dying while trying to reach Europe.
BBC defence correspondent Jonathan Beale said the ship was sailing south with around 12 other European vessels.
Last week, Bulwark rescued 747 people from boats off Libya's coast.
The ship is thought to have been involved in the rescue of around 1,700 migrants in the past month.
Our correspondent, who is on board the ship, said: "Bulwark, along with about a dozen other European vessels, is patrolling an area of about 70,000 square miles of the central Mediterranean - looking out for those migrants desperately fleeing Africa trying to get to Europe. "
It is likely the vessel will locate migrants in the next 48 hours and attempts will be made to rescue them, he added.
Estimates suggest more than 1,600 people have drowned so far this year trying to cross the Mediterranean.
Many are fleeing war in Libya, where Islamic State fighters are terrorising the population, fuelling instability.

Lamborghini, which is owned by Volkswagen, said Italy had beaten a bid from Slovakia to build the car there.
Reports say the sports car maker received â‚¬90m ($98m; Â£64m) of tax breaks and other incentives from the government to produce the car in Italy.
Executives from Lamborghini joined the Italian Prime Minister Matteo Renzi at a signing ceremony in Rome.
The Urus SUV was unveiled as a concept car in 2012 and is expected to go on sale in 2018, with a planned production level of 3,000 cars a year.
That will more than double production at Lamborghini's factory near Bologna and is expected to create 500 jobs.
Other car markers have been attracted by the strong growth and in the SUV market.
In January, Jaguar Land Rover said it would build its first Jaguar SUV at its Solihull plant in the West Midlands.
And in February Rolls-Royce, owned by BMW, also announced plans to launch an SUV.
The Northern Ireland Human Rights Commission has called on the Executive to do more to improve life for people from minority ethnic backgrounds.
[NEXT_CONCEPT]
Deutsche Bank shares dropped in early trade on reports that its boss failed to reach a swift deal with the US over lowering a $14bn (£11.3bn) fine.
[NEXT_CONCEPT]
Royal Navy warship HMS Bulwark is heading towards Libya after reports 14 vessels carrying migrants have left the country's coast.
[NEXT_CONCEPT]
Lamborghini confirmed the launch of a sports utility vehicle (SUV) and signed a deal to build the car in Italy.