Loftur is an Icelandic masculine given name. Notable people with the name include:

Loftur Þorsteinsson (born 1702, ), Icelandic person known for his supposed mastery of Old Norse sorcery Loftur Sæmundsson (died 1163), Icelandic chieftain Jón Loftur Árnason (born 1960), Icelandic chess grandmaster