The houses of the prominent Sinn Fein figures Gerry Adams and Bobby Storey were attacked with explosive devices.
The Irish Republican Party condemned the "reprehensible and cowardly" attacks in Belfast on Friday night – with former leader Adams stating that no one was injured.
Adam's grandchildren were reported to be in the driveway minutes before the incident.
Sinn Fein Policing and Justice spokesman Gerry Kelly said two devices were thrown, one causing damage to a car.
After the attack, a vehicle on the Adams driveway was badly damaged and an explosion track was visible on the windshield.
Outside Storey was a strong security force with a line of police Land Rovers and armed officers keeping watch.
Kelly, the North Belfast MLA, said, "These were disgusting and cowardly attacks on the family homes of Gerry Adams and Bobby Storey.
"Grandchildren were nearing the attack in the driveway of Adams's apartment.
"I would appeal for calm, these attacks are the desperate acts of increasingly desperate and irrelevant groups."
The Northern Ireland Police Department said officers "deal with two incidents at two separate addresses in West Belfast".
Although the police have not yet attributed responsibility, the attacks are likely to be the work of dissident Republicans with a new grouping called the "New IRA", which is widely believed to be responsible.
The "New IRA" – made up of factions such as the INLA, the Continuity IRA and the 32-sovereignty movement – opposes Sinn Fein's involvement in the peace process and participates in localized peat battles in Republican strongholds in an effort to gain support from the mainstream movement rid of.
Sinn Fein dismisses the dissidents as unrepresentative gangs without political strategy, using the mantle of republicanism to engage in crime.
Friday's attacks in West Belfast came after six consecutive nights of dissident staged violence in the Republican Bogside district of Londonderry.
The Sinn Fein leaders, including current President Mary Lou McDonald, sharply criticized extremists for the uprisings and attacks on Derry police.
Adams led Sinn Fein from 1983 to February 2018, while Storey served as the party's northern chairman.
After the incidents, Alliance Party leader Naomi Long said the attacks must be "unequivocally condemned".
She said, "This week, we saw those who were forcibly linked with bringing chaos and fear to our streets, in scenes that we all hoped we would never experience again.
"These recent attacks on the homes of Gerry Adams and Bobby Storey are a deliberate and calculated attempt to cause fear and increase tension in our community.
"We have all worked too hard and gone too far to see the peace we have risked from those who offer this society nothing but destruction."
Who is Gerry Adams?
One of the world's longest-serving political leaders – and one of the most controversial – former Sinn Fein boss Gerry Adams remains a prominent public figure in Northern Ireland.
For 34 years he headed Sinn Fein, Northern Ireland's second largest political party.
His legacy is very divisive, praised by some as a peacemaker, denounced by others as a terrorist.
He was accused of being a high-ranking member of the IRA during the riots, something he has always vigorously denied.
In later years, he was known around the world as the face of the Republican movement during its transition from violence to peace.
Adams was born in Ballymurphy, West Belfast, in October 1948 and became an active Republican as a teenager.
He was interned without charge in 1972. During his internment he participated in ceasefire talks with the British government on behalf of the IRA.
The talks failed and a series of IRA bombings across Belfast – known as "Bloody Friday" – killed nine people and injured 130.
In 1983 he was elected MP for West Belfast and Sinn Fein.
The then British Prime Minister Margaret Thatcher banned his voice from the ether waves, but remained in the news.
He survived a murder attempt by loyalist paramilitaries in 1984 and another in 1988.
Adams went on to lead Sinn Fein to the negotiating table in Stormont, persuaded the IRA to impose a ceasefire, and pursued a political ruling in the form of the Good Friday Agreement, which in October 2006 led to the Stormont coalition.
In January 2011, Adams resigned from West Belfast as a Member of Parliament to stand for election in the Republic of Ireland and was elected as a member of the Irish Parliament.
After the collapse of the power sharing in Stormont in January 2017, he was actively involved in negotiations to restore the Northern Irish executive.
The change of guard took place in February, when Mary Lou McDonald took over the party leadership.