Ruud van Nistelrooy scored in 10 successive United top-flight outings in 2003 before Leicester’s Jamie Vardy beat his Premier league record with 11 in a row in 2015.
After failing to score in his first 14 Premier League appearances following his August move from Atalanta, Hojlund has scored eight times in his last eight games in all competitions.
His brace should have put United in complete control, but Luton fought back impressively as Carlton Morris quickly reduced the deficit.
Erik ten Hag’s side were under seige for spells and wasted several chances to kill off fourth-bottom Luton in a tense finale.
Praising Hojlund’s mentality, Ten Hag said: “We recruited him on his character, I knew it was strong.
“He can really perform under stress and that is something you need from a Man United striker.
“He doesn’t get nervous or lose confidence. He has a lot of confidence and I’m sure he will score even more.”
Hojlund added: “I need to say thanks to my teammates and the coach because they have showed me great confidence and kept believing in me.
“I knew as well that I could score goals but of course it was annoying I didn’t score in the Premier League.”
Sixth placed United’s fourth consecutive league victory moved them within five points of fourth placed Aston Villa in the race to qualify for next season’s Champions League.
For long periods during a difficult season, that target has seemed beyond United, but Hojlund’s prolific form has given them renewed hope.
“We are back in the race and we are building momentum. We need to build pressure. Every game is a final to get closer,” Ten Hag said.
With just 37 seconds gone, Hojlund intercepted Amari’i Bell’s dreadful back pass, rounded keeper Thomas Kaminski and slotted into the empty net.
United’s fastest league goal this season was followed by Hojlund’s second in the seventh minute.
When Alejandro Garnacho smashed a volley towards goal from a United corner, the strike hit Hojlund’s chest and deflected into the net.
United hold on
But Morris gave Luton an unexpected lifeline in the 14th minute when the burly striker headed in from close-range after Tahith Chong’s shot deflected into his path.
Gabriel Osho should have equalised, but the Luton defender headed wide from a corner.
Morris went closer with a thunderous strike that whistled just wide from the edge of the area after Garnacho carelessly lost possession.
United left-back Luke Shaw was forced off just before the break with his latest injury in a season marred by fitness issues.
Luton wasted another chance to equalise as Alfie Doughty swept wide from a good position.
Ten Hag replaced Casemiro and Harry Maguire with Jonny Evans and Scott McTominay at half-time in a bid to stem Luton’s momentum.
Despite the change, Luton pummelled United immediately after the break, with Cauley Woodrow and Chong both threatening an equaliser.
Marcus Rashford, Garnacho and Bruno Fernandes all squandered good opportunities to restore United’s two-goal advantage.
Garnacho was especially culpable when he ran clean through on goal, but allowed Kaminski to get a touch on the ball as he tried to round him.
The United winger still had a chance to score but delayed too long and Bell was able to clear.
Fernandes shook his head in disbelief at Garnacho’s blunder and the United midfielder’s frustration was on display again when Kaminski repelled his own free-kick.
Luton never gave up and Ross Barkley was inches away from spoiling Hojlund’s memorable day in stoppage-time when his header grazed the bar.
© Agence France-Presse
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