The 21-year-old will stay with the Championship outfit for the rest of the season and is set to make his debut against Scunthorpe on Saturday.
Simpson has featured eight times for United this season, but is set to lose his place when captain Gary Neville returns from injury.
United boss Sir Alex Ferguson said: "I've let Danny Simpson go on loan to Ipswich, a good football team, until the end of the season.
"It's good for the lad - with Gary Neville coming back, the boy needs games."