The victory has ushered a new era for the nation, reported BBC.
Suu Kyi's National League for Democracy (NLD) has won more than 329 seats, with this victory NLD has gained control of both houses of parliament, according to the electoral commission.
But a quarter of seats are allocated to the military, which means it will remain hugely influential.
According to Myanmar's constitution Suu Kyi is not eligible to become president.
A total of 6,038 candidates involving 91 political parties and 310 Independents contested for more than 1,000 seats at three levels of parliament in the elections. Of the total, 1,733 candidates ran for seats of the House of Representatives (Lower House), 886 for the House of Nationalities (Upper House), 3,419 for regional or state parliaments.
In elections held on November 8, 33.5 million eligible voters cast votes at more than 46,000 polling stations across the country.