The 109-member committee includes lawmakers from all parties in parliament, including Suu Kyi's National League for Democracy and President Thein Sein's ruling Union Solidarity and Development Party, along with the military's allotted representatives.
The NLD considers the current constitution undemocratic because it gives the military a substantial percentage of parliamentary seats and disqualifies Suu Kyi from running for president. Ethnic minority parties seek to elect their own chief ministers in their regions, rather than have them appointed.
The constitution was drawn up under the previous military regime to ensure its continuing influence in government. The next election is in 2015.
Since coming to office in 2011, Thein Sein has instituted a series of political and economic reforms after almost five decades of repressive army rule. A major achievement was persuading Suu Kyi's party to rejoin the electoral process after decades of government repression, and her NLD won 43 of 44 seats it contested in by-elections last year.