Heavy snow fell in the Merseyside area overnight and through the early hours of Sunday morning, prompting an amber weather warning from the Met Office yesterday evening.
Liverpool City Council's Grounds Safety Advisory Group met at 09:00 GMT this morning to assess the conditions in terms of safety, but an outcome was pushed back until midday in the hope the weather would ease.
The group reconvened and deemed the fixture safe for supporters, meaning kick-off at Anfield will take place as scheduled at 16:30 GMT.
"Today's fixture against Manchester United will go ahead as planned. Two safety meetings were held earlier to assess the weather and travel conditions," Liverpool said in a club statement.
"We thank everyone involved in helping us to get this game on today. If you're travelling to Anfield then please take extra care. We look forward to seeing you there."
Liverpool have seen one game postponed this season when the Merseyside derby against Everton in December was called off due to Storm Darragh.
Liverpool sit atop the Premier League table with 45 points and five clear of second-placed Arsenal.
United, meanwhile, have slumped to 14th as a result of three straight defeats under Ruben Amorim.