First Deputy Finance Minister Roman Yermolichev said the budget has set aside $22.17 billion so far toward the military spending plan.
Britain's Ministry of Defence says annual direct spending with smaller domestic firms has also risen, to $1.7 billion.
The Congressional Budget Office estimates the Pentagon has spent $38.1 billion on military operations against Iran since February, with future costs projected between $2 billion and $3 billion per month.
Russian state news agency TASS cites the Congressional Budget Office as saying a war with Iran has cost American taxpayers $38 billion and depleted US weapons stockpiles, including air defense interceptors.
The U.S. military has spent $43.6 billion on operations related to Iran, according to a new estimate provided to Congress.
A report cited by Russian news agency TASS breaks down the expenditure into operations, munitions and equipment replacement.
A Defense Department disclosure reported by CNBC puts the price tag on recent U.S. military operations involving Iran at more than $33 billion, while flagging strategic weapons stockpile concerns.
The Congressional Budget Office found Defense Department spending on the Iran conflict reached $38.1 billion through August 1, according to a new analysis.
Bloc calls for multilateral approach that respects diverse national viewpoints on key global issues, according to TASS.