Eighteen former NBA players have been charged over an alleged scheme to defraud the league's health and welfare plan out of nearly $4million.

The Department of Justice announced on Thursday that 19 defendants had been charged after allegedly submitting "fraudulent reimbursement claims for medical services that they never received".

One of the 18 ex-players was Tony Allen, a six-time All-Defensive Team selection who was part of the championship-winning Boston Celtics squad in 2008. His wife was also charged.

Allen's former Celtics team-mate Glen Davis, Shannon Brown – twice a champion with the Los Angeles Lakers – and Melvyn Ely, a title winner in 2007 with the San Antonio Spurs, were also named among the defendants.

FBI assistant director Michael J Driscoll said: "Today we've charged 18 former NBA players and one spouse for their alleged participation in a health care fraud scheme that resulted in nearly $2million in losses to the National Basketball Association's health and welfare benefit plan.

"The health care industry loses tens of billions of dollars a year to fraud. Thanks to the work of our dedicated FBI agents and partners alike, cases like this demonstrate our continued focus in uncovering health care fraud scams that harm both the industry and the consumers of their services."

Manhattan U.S. Attorney Audrey Strauss said: "The defendants' playbook involved fraud and deception. Thanks to the hard work of our law enforcement partners, their alleged scheme has been disrupted and they will have to answer for their flagrant violations of law."

New York City Police Department commissioner Dermot Shea said: "Today's federal indictment represents the NYPD's long-term commitment, working with its law enforcement partners, in making sure those accused of health care related fraud are held accountable. I commend those involved in the investigation, the FBI, and the office of the United States Attorney for the Southern District in New York for its work in ensuring there is justice in this case."