The US says an independent Palestinian state should be established through direct negotiations between Israel and the Palestinian Authority and not through UN action
The explosions took place in a neighbourhood dominated by the minority Hazara community where similar attacks on buses earlier this month killed 12 civilians.
Basir Mujahid, Kabul's police spokesman, added that six people had also been wounded in Saturday's blasts.
Violence has been rising as foreign forces withdraw from the country by Sept 11 and efforts to broker a peace settlement between the Afghan government and insurgent Taliban have slowed.
It was not immediately clear who was behind Saturday's attacks.
The Hazara community has also been the target of a number of attacks from the Islamic State militant group. In May an unclaimed attack on a school in the area left around 80, mostly school girls, dead.