Jenni Rivera’s children were among 6,000 mourners who attended the service at Gibson Amphitheatre, Los Angeles.
Jenni Rivera was born in California in 1969 to Mexican parents and sold more than 15 million records of norteno and banda music.
The singer died when the plane she was travelling in came down in northern Mexico on 9 December.
Dressed in white, Jenni Rivera’s family led the memorial service as images of the singer played on three large screens.
“We’re not here to mourn the death,” her son Michael, 21, told more than 6,000 mourners who packed the theatre for the service lasting nearly two-and-a-half-hours.
“We’re here to celebrate the life and graduation of a singer, an entertainer, a diva, a fighter, an entrepreneur, a philanthropist, and more than anything, a mother – the best mother.”
Michael Rivera then called for 27 seconds of silence for the victims of the school shooting in Newtown, Connecticut.
The daughter of Mexican immigrants, Jenni Rivera was known as the “diva de la banda”. She sold about 15 million albums and earned a slew of Latin Grammy nominations during her 17-year career.
Most of her music was about her misfortunes in love and she was especially well-loved by her fans for the way she talked openly about her troubles.
“Jenni made it OK for women to be who they are,” said her manager, Pete Salgado.
“Jenni also made it OK to be from nothing, with the hopes of being something.”
Jenni Rivera’s second husband, Juan Lopez, died in 2009, six years after the couple divorced in 2003.
Their youngest child, 11-year-old Johnny, said: “Mama, I’ve been crying so much these last few days. I miss you so much.
“I hope you’re taking care of my dad and I hope he’s taking care of you, too.”
Among the mourners to attend the service were Mexican singers Marco Antonio Solis and Ana Gabriel and actors Lou Diamond Phillips and Kate del Castillo.
Thousands of fans lined up to lay white roses on top of Jenni Rivera’s bright red coffin at the end of the service.
One fan, Veronika Flores, drove nearly eight hours from her home in Woodland, California, to be united with other fans at the service.
“I just came to say goodbye to a Latina woman, La Gran Senora,” she said, using the name of one of Rivera’s popular songs.
The family asked that Latin radio stations play Jenni Rivera’s song La Gran Senora at noon Thursday in her honor.
Jenni Rivera recently divorced her third husband, Esteban Loaiza, a professional baseball player who has played for the New York Yankees and the Los Angeles Dodgers.
The plane crash in Nuevo Leon on December 9 which killed Jenni Rivera and six others remains under investigation.
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