Since the takeover six weeks ago, Myanmar has been under a nationwide state of emergency, with its civilian leaders ousted and detained and military leaders in charge of all government.
Myanmar has been roiled by protests, strikes and other acts of civil disobedience since the coup toppled Suu Kyi's government on February 1 just as it was to start its second term.
Australia announced late Sunday it had suspended a defense training program with Myanmar worth about 1.5 million Australian dollars ($1.2 million) over five years.
Bagan is best known for being one of the country's top tourist attractions, but it has also been the scene of large protest marches against the military's February 1 seizure of power.
The India-Myanmar border has a Free Movement Regime (FMR) which allows tribes living along the border to travel 16 km across either side without visa restrictions.
On February 1, Myanmar's military overthrew the government and declared a year-long state of emergency hours before the newly-elected parliament was due to convene.
State railway workers on Sunday had called a strike, joining a loosely organised Civil Disobedience Movement that was initiated by medical workers and is the backbone of the resistance.
Suu Kyi, who was ousted in a military coup on February 1, has already been charged with possessing walkie-talkies that were imported without being registered.
The military says it acted because November's election, which Suu Kyi's National League for Democracy won in a landslide, were marred by irregularities.
The protesters are demanding that power be restored to the deposed civilian government and seek freedom for the nation's elected leader Aung San Suu Kyi.
The Ministry's directive asked the operators to temporarily suspend the access of Twitter and Instagram under Section 77 of the country's Telecommunications Law
The 75-year-old Suu Kyi is by far the country's most dominant politician, and became the country's leader after leading a decades-long nonviolent struggle against military rule.