Hallgrímur Jónasson (born 4 May 1986) is an Icelandic footballer who plays for Knattspyrnufélag Akureyrar in the Úrvalsdeild karla.
At Þór his coach was Kristján Guðmundsson who moved on to manage Keflavík and took Hallgrímur with him.
At Keflavík, Hallgrímur played 49 matches and scored 4 goals.
Hallgrímur was signed to GAIS by Magnus Pehrsson who never managed him as he moved on to AaB in Denmark.
In the following season, Hallgrímur was ever present in the starting line up and is now considered a key player for the team as a central defender.