Lambert's Norwich are two places below Colchester in League One
Colchester have reported Norwich and Paul Lambert to the Football League for breaching regulations and misconduct over his move to Carrow Road.
Coaching staff Ian Culverhouse and Gary Karsa are also reported in United's official complaint.
A club statement said Colchester had failed to agree a compensation package with the Canaries following the trio's departure in August.
A Football Disciplinary Commission will be set up to investigate the complaint.
The statement said: "The FDC has the power to award Colchester compensation and deduct points from Norwich, a remedy which we are advised might be particularly relevant in this case."
Colchester chairman Robbie Cowling said: "In the past the two clubs have always enjoyed an excellent relationship.
"During the time they were at Colchester United I had a first class relationship with Paul, Ian and Gary, who did a wonderful job for us.
"We have genuinely tried to preserve those good relations and it therefore saddens me that we feel compelled to take this step.
"However, no one should doubt the resolve of the Colchester United board to see a fair outcome from this matter."
Colchester have always maintained they wanted to settle the matter amicably but at the time of Lambert's departure, chief executive Steve Bradshaw told BBC Essex: "It is a surprising way to act and we are concerned there has been a breach of Football League regulation 20.
"Unless compensation can be agreed we will have to go to tribunal."
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