The attack that took place at London Bridge and Borough Market comes just days ahead of the general election on June 8.
The first incident was reported at London Bridge when a van swerved off the road into a crowd of pedestrians, BBC reported.
A white van driver came speeding - probably about 50 mph - veered off the road into the crowds of people who were walking along the pavement, it said.
Within minutes, there were reports of a second attack at Borough market on the South Bank of the Thames where three men started stabbing people including a young girl.
Also Read
This is the third terror attack in the UK since March.
On 22 May, 22 people were killed and 116 injured in a suicide bombing at Manchester Arena.
The attacker, identified as 22-year-old Salman Abedi, detonated a home-made bomb in the arena's foyer as crowds were leaving a performance by US singer Ariana Grande late in the evening.
On 22 March, six people died, including the attacker, and at least 50 people were injured in an attack near the Houses of Parliament.
Disclaimer: No Business Standard Journalist was involved in creation of this content