The electoral commission in Somalia says 73 out of 275 MP seats have so far been filled.
The indirect elections are ongoing in various constituencies.
The elections started in November and were supposed to conclude by 24 December, but the process has been delayed because of disputes.
Prime Minister Mohamed Hussein Roble and regional state leaders reached a deal on 9 January to complete the polls by 25 February.
The complex poll process involves clan elders selecting delegates, who then elect MPs. Members of the Senate, the upper house, are elected by regional state assemblies.
A joint sitting of the two houses will then elect a president.
The date for the presidential elections has not been set.