In the last six months, IS has been linked to attacks in 11 countries that have killed over 500 people, in Bangladesh, Belgium, Egypt, France, Germany, Indonesia, Lebanon, Pakistan, Russia, Turkey and the United States.
"Recent international attacks perpetrated by members of ISIL demonstrate that the terrorist group is now moving into a new phase, with the increased risk that well-prepared and centrally directed attacks on international civilian targets may become a more frequent occurrence," said the report obtained by AFP on Wednesday.
UN member-states are reporting a marked increase in the number of foreign fighters returning from Syria and Iraq where IS has suffered military setbacks, Ban said in the report to the Security Council.
The Paris and Brussels assaults demonstrate the jihadist group's "ability to mount complex, multi-wave attacks" that were coordinated by foreign fighters returning from Syria, with some direction from IS leaders.
These leaders are seeking to "elevate the role" of IS affiliates, suggesting a broader theater for its military campaign.
Several hundred foreign fighters have "relocated back to Libya" while other returnees are seeking to establish new affiliates as part of the IS strategy to expand its global footprint, said the report.
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The presence of Malaysian and Indonesian fighters in Syria and Iraq has raised concerns that Southeast Asia is at risk of attacks, the report said.
- Squeeze on IS finances -
Ban sent the report to the council on Tuesday in line with a UN resolution adopted in December that takes aim at the financing networks of IS and Al-Qaeda.
For the first time since it proclaimed its caliphate in June 2014, IS has come under financial pressure following a sharp drop in oil production in territory it controls among other measures, the report said.
A recent 50-percent-cut in salaries paid to IS fighters in Raqqa was seen as a sign that finances were becoming tighter.
"The global threat emanating from ISIL remains high and continues to diversify," said Ban in the report, prepared with input from the UN's counter-terrorism committee.
The document quoted an unidentified member-state as saying that the number of foreign fighters in Iraq and Syria had reached 38,000, but most governments estimate that figure at 30,000.
The council is set to discuss the report during a meeting on June 8.