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"This is not so much our triumph as a triumph for people who have decided that they must be involved in the political process in this country," Suu Kyi said at her party headquarters.
"We hope this will be the beginning of a new era."
Suu Kyi's National League for Democracy (NLD) party declared that the Nobel laureate had secured a seat in parliament for the first time in Sunday's by-elections.
The NLD said it had won 43 of the 44 seats it contested, based on its own tally. No official results have yet been announced.
Copyright AFP (Agence France-Presse), 2012