The polls, the first contested by Suu Kyi's National League for Democracy since 1990, saw voter turnout hit around 80 percent as Myanmar's long-suffering people made their voice known at the ballot box.
The military ruled the country with an iron fist for half a century, killing, jailing and silencing dissenters and flat-lining the economy with madcap policies and rampant corruption, before stepping aside in 2011 in favour of a quasi-civilian regime.
Suu Kyi said she believed that would play out into a healthy parliamentary majority.
"We probably will get between, around 75 per cent in the union legislature," she told the BBC in an interview.
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The ruling Union Solidarity and Development Party (USDP) meanwhile faced a rout after taking just five of those spots in the 440-seat house.
"Our USDP lost completely. The NLD has won," senior party member Kyi Win told AFP from party headquarters in the capital Naypyidaw.
Kyi Win, a retired army officer who sits at the heart of party operations in the capital, said the NLD was poised to win a coveted majority in parliament.
But official victory for the NLD remained elusive, with election officials releasing results at just a trickle throughout Tuesday.
NLD voters remained confident of a major win, but were cautious of kickback from the still powerful army, whose stake in the future is guaranteed by a 25 percent bloc of reserved seats in parliament.
"I don't know if the current government will seize power (if they lose) or not, but I hope they won't."
The NLD needs 67 percent of contested seats across both houses of parliament for a majority. But anything higher would bolster its parliamentary leverage against the army.
Suu Kyi's political ascent is also capped by the army-scripted constitution that bars anyone with foreign children from the presidency.