The ministry said Russian monitors had registered no violations of the ceasefire involving the use of heavy weapons within the last 24 hours.
"On the whole the ceasefire regime between government troops and opposition forces on the territory of Syria is being observed," the statement said, Reuters reported.
But it said that, within the last 24 hours, opposition fighters in the Homs region had opened fire on government posts, killing one soldier.
The ceasefire took effect three weeks ago, reducing violence but not halting the fighting as peace talks take place in Geneva. It does not al Qaeda or Daesh (ISIL) militants.
Russia has been pulling out its attack aircraft after announcing a partial withdrawal from Syria, where its air campaign in support of President Bashar al-Assad has turned fighting in his favor.
The Russian statement criticized the United States for what is said was Washington's failure to restrain rebel fighters.
"In contrast to the American side, officers of the Russian (monitoring) Centre are in the provinces and on the ground to restrain potential violations of the ceasefire," it said.
Russia had yet to receive a reply from Washington to its proposals for organizing monitoring of the ceasefire, it added.
"We consider that this delay in accepting the document in question is unacceptable, because it leads to new civilian casualties," the statement said.