Five people were injured in the latest attacks on Thursday evening.
There are now calls for tradespeople to be issued with a license so they are the only ones who can buy acid.
Abbott said: "The recent spate of acid attacks have shocked the nation, but sadly they are nothing new. With a steady rise in attacks since 2010 and a steep increase of 70 per cent from 2015 to 2016, it is clear that the Government urgently needs a new approach to tackling this heinous crime.
"Just like knives and guns, acid is being used in murders, robberies and rapes. The problem is the weapon of choice is often a common household product.”
Speaking about the investigation Chief Inspector Ben Clark, from Hackney Borough, said:
"This is a fast moving investigation and we have made two arrests. However, I would like to ask the public for their help. Each of these offences took place in busy locations and we know there may be witnesses who have not yet contacted us. If you saw something or managed to film or photograph anything that might help us please get in touch.
"These are hideous offences and must have been very frightening for all of the victims. I'm aware of rumours circulating that the victims were all food delivery riders set up in advance of the attacks. This is not the case. All victims were riding mopeds at the time of the attacks, but were from a variety of backgrounds.
"Of late we have seen more attacks using corrosive substances in London. I would urge businesses and parents to challenge those who they think may be trying to obtain or carry these substances as this could help prevent serious offences and life changing injuries being caused."
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