Nearly 30,000 suspected people smugglers have been identified by European authorities since the start of the year.
The figure was disclosed by the head of the EU's law enforcement agency as he told the Press Association criminal activity is at "very high" levels as gangs attempt to exploit the migrant crisis.
Rob Wainwright said investigators across member states have opened up a total of 1,400 new cases in 2015 alone.
The director of Europol also described trafficking gangs as "agile", with members adopting new tactics such as using social media to "recruit" victims.
The whole of the EU is currently struggling to deal with an influx of migrants from the Middle East and North Africa.
UK ministers have repeatedly said people traffickers must be targeted as part of the response to the emergency, with Home Secretary Theresa May saying they should be "relentlessly" pursued.
Mr Wainwright said tackling the gangs has emerged as a "top priority" for his organisation in recent years.
He said: "Our job is to try and do something about the criminal gangs that are exploiting those conditions and are responsible for exacerbating the problem by recruiting would-be migrants in the first place, giving them false promises about how they can secure their journey to Europe and making an awful lot of money out of it in the process."
A dedicated intelligence project involving all member states has been established to target the perpetrators.
Mr Wainwright said: "Since the start of this year alone we have opened up 1,400 new cases for investigation of facilitators.
"We've identified in those cases almost 30,000 suspected people smugglers at different chains, different levels of criminal syndicates."
He said the cases were initiated by national authorities and sometimes triggered by Europol.
"All of them with cross-border elements, so involving at least two countries, many of them involving multiple countries, and at different levels of scale," he said.
He said Europol is playing an important role in helping the police community across Europe "upgrade" its response to the gangs involved.
"If we can make a serious inroad on that then of course it helps to ease the wider pressures involved," Mr Wainwright added.
"The numbers of migrants are at unprecedented levels and the level of criminal activity equally seems to be at very high levels."
Police are dealing with enterprising, medium-sized criminal groups that are "quite agile in operating in different countries", he said, adding that they are employing new tactics such as "using social media to recruit their victims".
He said: "We are making a sizeable impact on their work."
Europol has set up a dedicated cell in Sicily to improve intelligence about Mediterranean trafficking operations on the frontline.
Mr Wainwright said: "Most of our work is concerned with what we call the secondary distribution of migrants and refugees.
"After they've come through the external border and as they make their journey across European countries."
Fears have been raised that Islamic State - also known as Isil - may seek to take advantage of the migrant crisis to smuggle fighters into Europe.
Mr Wainwright said there is no evidence of any such "systematic exploitation".
He said: "On one level it is surprising because we know that Isil have a footprint in Libya. But beyond that ... if the foreign fighters hold EU passports they don't really need to risk themselves getting on a rickety boat across the Mediterranean. We are not seeing it yet."
Last month UK Border Force boss Philip Duffy warned that trafficking gangs are attempting to smuggle migrants to the UK to commit crime.
He also said organised crime linked to migration activity may involve British nationals.
On Tuesday, a lorry carrying 20 migrants from Albania and Syria was intercepted by Border Force officers as it arrived at the Port of Tyne in north east England. A 35-year-old man was arrested on suspicion of facilitation of illegal immigration alongside a 32-year-old Polish man.