Turkey appointed a special representative to Libya last month, who became the first envoy publicly to meet with the parallel government in Tripoli.
Turkish officials say the move is part of Ankara's efforts to promote UN-backed peace negotiations, Reuters reported.
"We strongly condemn the air strikes," the Turkish foreign ministry said in a statement. "These attacks deepen the existing problems in Libya and the atmosphere of conflict and scupper efforts to resolve the crisis by peaceful means."
The ministry statement said the Libyan crisis could only be resolved with an end to foreign interventions, a ceasefire and comprehensive political dialogue, calling for all parties in the country to support the UN efforts.
Libya has descended into chaos three years after the toppling of strongman Muammar Gaddafi, with warring factions battling for control and the capital Tripoli run by an alternative government partly backed by militant groups.
Mitiga airport has been hit at least twice this week. Libyan Prime Minister Abdullah al-Thinni has said his government's air force was responsible for the strikes on "Libya Dawn", an armed group backing the rival administration.