The Parliament is composed of no less than 140 members elected to a four-year term on the basis of direct, universal, periodic and equal suffrage by secret ballot.

[7] Its use dates back to the fifteenth century when men, mainly from northern Albania, gathered to listen to the debate between Lekë Dukagjini and Skanderbeg on what would be allowed and what was not.

In the nineteenth century with the transcription of these laws by Father Shtjefën Gjeçovi, for the first time the institutional meaning of the word is given in written form where in Chapter 148, Article 1106 of the Kanun it is said: Kuvendi is a union of kin or several kins with the chief, the fore-elder, the elder, the young, or the little ones, who intend to resolve any issue or to bind the Besa.

[10][11] Kuvend was later reused to name the country's legislative institution after the communists took power in 1946, refusing to use words borrowed from foreign languages and previously used by other regimes or governments.

The peace treaty of the Albanian-Venetian war signed on October 4, 1448 is the first diplomatic document on which the league appears as an independent entity.

In 1914, with the drafting of the Organic Statute of Albania by the International Control Commission, the establishment of Asambleja Kombëtare (the National Assembly) as a legislative body was foreseen.

[17] After the end of the First World War, between 25 and 27 of December 1918, the Congress of Durrës decided on the formation of a provisional government, as well as the establishment of the Pleqësia (the "Council of Elders"), which was essentially a Senate.

[20] After the dismissal of the Government of Durrës, among others, the Congress of Lushnja established the Senate as the first Albanian legislative body, which would later be named Këshilli Kombëtar (National Council).

In this period, the principles of parliamentarism are affirmed for the first time: the appointment and dismissal of the Government by the Council, as well as the exercise of parliamentary control over it.

[25] From 1944 to late 1945, a National Anti-fascist Liberation Council (Albanian: Këshilli Antifashist Nacional Çlirimtar) was formed by politicians opposing the Nazi puppet government.

Later during multiple periods of regime changes, Albania's legislature was known as the Constituent Assembly (Albanian: Asambleja Kushtetuese or Kuvendi Kushtetues).

In 2023, the parliament's website was targeted by a cyberattack by what were reported to be members of an Iran-based hacker group called Homeland Justice, rendering it temporarily inaccessible.

The president addresses messages to the Parliament and sets the date of parliamentary elections, for the organs of local power and for the conduct of referendums.

[1] The term of office is four years, but elections can be held earlier in the relatively rare case that the Parliament is dissolved prematurely by the President.

Following is a list of political parties and alliances with representation in the Parliament by the 25 April 2021 elections: Political parties divided according to post-electoral seats in the X Legislature: Parliamentary committees investigate specific matters of policy or government administration or performance that cannot be directly handled by the Parliament due to their volume.

The committees provide an opportunity for organisations and individuals to participate in policy making and to have their views placed on the public record and considered as part of the decision-making process.