Russian Prime Minister Vladimir Putin is vowing to "destroy" those responsible for Monday's terror attacks on Moscow's subway system.

At least 37 people are dead and 65 injured after two bombs were set off.  Authorities say two female suicide bombers blew themselves up on the subway while it was packed with Monday morning rush-hour passengers.

Click play for an update with CBN News Reporter Dale Hurd.  Also, click here for insight from CBN News Terrorism Analyst Erick Stakelbeck.

The explosions happened 45 minutes apart, with the first blast occurring just before 8.a.m., between the Lubyanka and Okhotny Ryad stations.

The Lubyanka station runs below the building that houses the headquarters of the Federal Security Service, the agency that succeeded the KGB.

"I heard a bang, turned my head and smoke was everywhere. People ran for the exits screaming," said 24-year-old Alexander Vakulov.

"I saw a dead person for the first time in my life," said 19-year-old Valentin Popov, who had just arrived at the station from the opposite direction.

Chechen rebels are claiming responsibility for Monday's attacks.

The last confirmed terrorist attack in Moscow took place in 2004 when another suicide bomber killed 10 people outside a subway station.

Moscow's subway carries an average of 7 million passengers each day.