The Soviet Union annexed Tuva outright in 1944, apparently with the approval of Tuva's Little Khural (parliament), though there was no Tuva-wide vote on the issue.
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This created a 32-member parliament (Supreme Khural) and a Grand Khural, which is responsible for foreign policy and any possible changes to the constitution, and ensures that Tuvan law is given precedence.
The People's Khural of Buryatia is the unicameral legislature of that republic.
Balingiin Tserendorj, who was acting head of state in 1924, is sometimes seen as the first president, but it was not until Navaandorjiin Jadambaa was appointed Chairman of the State Great Khural in November that there was an official leader.