In total, Sinn Féin has taken 27 of 90 seats in parliament - and the largest party is now to be appointed Northern Ireland's head of government.
From Sinn Féin's point of view, the historic victory is called a "seismic shift".
- This means that Northern Ireland is taking a step towards a united Ireland, even if it takes time before there is a referendum on this, says Anna-Maja Persson, SVT's foreign reporter on site in Belfast.
Can be government crisis
However, it can be very difficult to form a government, emphasizes Anna-Maja Persson.
This is because the unionist party DUP, which wants Northern Ireland to remain part of Britain, will appoint a deputy prime minister in the new government.
According to the peace agreement that ended the long civil war, power must be divided between nationalists and unionists.
- The entire autonomy is based on the division of power, so there must be a deputy prime minister from the unionist party DUP, and they refuse to appoint one, says Anna-Maja Persson.
The DUP's refusal is linked to the Brexit agreement, which is believed to have meant that Northern Ireland was in practice separated from the United Kingdom.
- This can create enormous problems and lead to new elections in the long run.
Maybe even more violence, if it feels bad.
Two seats in parliament had not yet been allocated on Saturday night.