He is expected to appear in court on the charges in Texas on Tuesday.
Mr Raniere left the country last year after former members spoke to US media.
A number of women came forward for an investigation published in the New York Times newspaper in October, which led to the United States attorney's office in Brooklyn opening an investigation into the group.
After the piece, a letter by Mr Raniere denied any such practices were sanctioned by the group and said an independent investigation found "no merit" to the allegations.
What is Nxivm?
On its website Nxivm (pronounced nexium) describes itself as a "community guided by humanitarian principles that seek to empower people and answer important questions about what it means to be human."Based in Albany in upstate New York, the group was founded as Executive Success Programs in 1998 and says it has worked with more than 16,000 people.
Members of the group are reported to include wealthy heiresses, the son of a former Mexican president and Hollywood actresses.
Mr Raniere and his group have been the subject of controversy for several years. Investigative journalist James M. Odato published a number of pieces in the Times Union of Albany Newspaper in 2012 which questioned the group's practices and compared it to a cult.
In 2009 the newspaper wrote about a visit by the Dalai Lama to Albany, which was reportedly sponsored by the Nxivm group. The exiled spiritual leader of Tibet denied he was paid for the appearance.
After the New York Times piece was published in 2017 and women came forward, federal authorities began interviewing "witnesses and victims" associated with the group.
What is the group accused of?
An affidavit filed as part of the FBI's criminal complaint says that Nxivm operated as a "pyramid" group where self-help workshops cost members thousands of dollars.Federal investigators say that in recent years Mr Raniere, 57, set up a secret sorority within the group known as Dominus Obsequious Sororium (DOS), meaning Master Over the Slave Women.
The complaint says that once recruited as "slaves", women were allegedly expected to perform menial chores for "masters" and have sex with Mr Raniere, who was known as "The Vanguard".
Investigators say Mr Raniere had a rotating group of 15 to 20 sexual partners, who were not allowed to discuss their relationship with him or have one with anyone else.
They allege that "slaves" in the group had to eat extremely low-calorie diets because of Mr Raniere's preference for thin women.
According to the complaint, members of the group were branded with Mr Raniere's initials using a cauterising pen, often on their pelvic areas, in ceremonies that were filmed by members.
Investigators say members were expected to provide "collateral" as a pre-condition to joining in the form of sexually explicit or other compromising material.
Court documents say investigators have found electronic communication that suggested Mr Raniere was behind the sorority "slave" internal group, something he has denied.
'Unorthadox pyramid scheme'
"Keith Raniere displayed a disgusting abuse of power in his efforts to denigrate and manipulate women he considered his sex slaves," senior FBI official William Sweeney said on Monday."He allegedly participated in horrifying acts of branding and burning them, with the co-operation of other women operating within this unorthodox pyramid scheme.
"These serious crimes against humanity are not only shocking, but disconcerting to say the least, and we are putting an end to this torture today."
Mr Raniere publicly disputed the New York Times newspaper's account in late 2017 before leaving the country
.
"These allegations are most disturbing to me as non-violence is one of my most important values," a letter on his website said.
In the letter, he added that members of the sorority were "thriving, health, happy, better off, and haven't been coerced".
Prosecutors say Mr Raniere was unco-operative when immigration officials detained him at a villa in Mexico.
They say after he was arrested, women he was staying with "chased the car in which the defendant was being transported in their own car at high speed".
Federal prosecutors have requested he be held without bail.
He is expected to be transferred to authorities in New York following Tuesday's court appearance.
- Buddhist leader the Dalai Lama was linked to NXIVM, the controversial self-help organization described by former members as a 'sex cult'
- He spoke at an event in Albany, New York, in 2009 and put a Tibetan scarf round the neck of its founder Keith Raniere in what was said to be a 'victory' for NXIVM
- DailyMail.com can disclose the Dalai Lama was given $1 million to spend on causes he backs in return for attending the function
- The deal to get him to go was made by Sara Bronfman, a billionaire heiress to the Seagram fortune, and Lama Tenzin Dhonden, head of the Dalal Lama's U.S trust
- But Bronfman and Lama Tenzin face claims they were lovers, even though the Buddhist cleric took a vow of chastity
- NVIVM hailed the Dalai Lama's visit but it is now being hit by claims founder Raniere runs it as a sex cult with a 'harem' of women
- The women are branded, call him 'Vanguard' and believe that sleeping with Raniere, 57, will heal them, according to claims made about NXIVM
- Raniere denies it is a sex cult but neither NXIVM or the Dalai Lama's office addressed the latest allegations