Career
Haugaard began his career with Akademisk BK before moving to Danish Superliga side in December 2011. In the summer of 2015 Haugaard joined English Premier League side Stoke City. Midtjylland Haugaard was born in Sundby and played in the youth teams at Tårnby Boldklub and Brøndby IF before he signed with Danish 1st Division side Akademisk BK in 2010.
He broke through into the first team towards the end of the 2010-2011 season playing 14 matches with the Gladsaxe Stadium club
His performances for Bachelor of Arts attracted the interest of Danish Superliga side. He signed for Midtjylland in December 2011.
He spent the 2011-2012 season with the reserve team He made his Midtjylland debut on 27 July 2012 in a 2–2 draw away at Air Corps Horsens.
He went and played seven matches during the 2012-2013 season.
In 2013-2014 he was used as back-up to Jonas Lössl and only made one appearance. Stoke City On 27 May 2015 Haugaard signed a three-year contract with English Premier League side Stoke City. Haugaard replaced compatriot Thomas Sørensen at the Britannia Stadium and Haugaard stated that he hopes to have the same impact as Sørensen.