This is a list of the 63 members of the Althing (Icelandic Parliament), from 2017 until 2021.

National party	Chairperson(s)	Seats	± 2016
Independence Party	Bjarni Benediktsson	16 / 63	5
Left-Green Movement	Katrín Jakobsdóttir	11 / 63	1
Progressive Party	Sigurður Ingi Jóhannsson	8 / 63
Social Democratic Alliance	Logi Már Einarsson	7 / 63	4
Centre Party	Sigmundur Davíð Gunnlaugsson	7 / 63	New
Pirate Party	Collective leadership	6 / 63	4
People's Party	Inga Sæland	4 / 63	4
Reform	Þorgerður Katrín Gunnarsdóttir	4 / 63	3

For the parties having qualified with a national result above the 5% election threshold, the 9 leveling seats (L1-L9) were first distributed party-wise according to the calculation method in this particular order (where the party's total number of national votes was divided by the sum of "won seats plus 1" - with an extra leveling seat granted to the party with the highest fraction - while repeating this process until all 9 leveling seats had been determined). At the next step, these leveling seats were then by the same order distributed one by one to the relative strongest constituency of the seat winning party (while disregarding the constituencies that already ran out of vacant leveling seats). At the third step, the specific leveling seat is finally granted to the party's highest ranked runner-up candidate within the constituency, according to the same accumulated candidate vote score as being used when apportioning the constituency seats.^[2]