"High-ranking French officers and political figures committed very serious crimes in Rwanda," the CNLG said in a statement.
"The refusal to put an end to the judicial investigation and to exonerate Rwandan leaders who ended the genocide is designed to camouflage these responsibilities."
A Rwandan enquiry found ethnic Hutu extremists responsible for Habyarimana's assassination, but the French investigation was inconclusive.
That enquiry was reopened following a deposition submitted by former Rwandan army chief Faustin Kayumba Nyamwasa, a one-time confidant of President Paul Kagame who has again pointed the finger of blame at Kagame.
The shooting down of the plane falls within French jurisdiction because the crew were French.
Last month Kagame warned of a "showdown" with France over the allegations. The row over responsibility for shooting down the plane has wrecked diplomatic relations in the past, causing a severing of ties between 2006 and 2009.
The CNLG accused the 22 senior French officers of involvement in the genocide "both as perpetrators and accomplices".
Among those accused are the former army head, a chief of staff to former President Francois Mitterrand and the French commander of the UN-mandated Operation Turquoise which intervened in Rwanda two months after the start of the genocide.