Saleh Dabbakeh says gunmen abducted the team near the town of Saraqeb in Idlib province around 11:30 am (1400 IST) today.
He says six of the people kidnapped are ICRC staff workers and one is a volunteer from the Syrian Red Crescent.
Dabbakeh declined to provide the nationalities of the six ICRC employees.
Hundreds of Syrian civilians, some carried on stretchers, fled a besieged rebel-held suburb of Damascus following a temporary cease-fire in the area, activists and officials said today.
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It was not immediately clear who brokered the cease-fire between rebels and government forces. It marks a rare case of coordination between opposing forces in Syria's civil war.
"It's (been) an area of military operations for months, so to see this halt of fire, and to see this exodus of people, means there's a high level cooperation, not regular cooperation," said Rami Abdul-Rahman, the director of the British-based Syrian Observatory for Human Rights.
Neither Syrian officials nor activists close to rebels would discuss the cease-fire.
The humanitarian situation for the thousands trapped in Moadamiyah has been deteriorating for months. In a bid to squeeze rebels there, Syrian forces blocked food and supplies from entering the suburb on the western edge of Damascus.
Its residents have been hit hard. Syrian activists of the Moadamiyeh Media Centre reported six people died of starvation in September: two women and four children. One woman described how her 18-month-old daughter lost half her weight as she struggled to nourish her on boiled lentil water.
Also today, Islamic extremists blew up a shrine of a mystic Muslim saint, Issa Abdul-Qader al-Rafai, in the northern town of Busaira, the Observatory said. A shrine belonging to the mystic's brother was destroyed in September.
Islamic extremists form some of the most powerful rebel groups battling the government of President Bashar Assad. They also have burnt churches, smashed statues, and desecrated shrines belonging to Islam's minority Muslim sects, and those belonging to mystic Sufi branches of Islam.