More than 10 million households have taken part in the survey, according to official figures for the first 10 days of the 12-day exercise, which is designed to plug widespread information gaps in the poverty-stricken nation.
But the census has come under criticism from its own backers in the United Nations (UN) and Western governments after authorities decided not to allow minority Muslims to register their ethnicity as Rohingya, following a fresh wave of unrest in the western state of Rakhine.
Myanmar views the Rohingya as illegal immigrants from Bangladesh, despite many being able to trace their family back for generations in Myanmar.
The country's first census since 1983 has largely been carried out by an army of teachers and its 41 questions were designed to give policymakers a full picture of the country as it emerges from decades of direct military rule, which ended in 2011.
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They accused the organisers of focussing exclusively on technical issues and ignoring the political problems it could raise in the country formerly known as Burma.
An eruption of violence just days before the census began forced humanitarian workers to flee Rakhine, leaving thousands of displaced people without adequate healthcare, food and water.
Britain, which donated 17 million USD to the survey said today that the exercise was "a critical step in Burma's development process", but said the move to exclude the Rohingya breached international standards.