Megan Huntsman, 40, was arrested a year ago after the bodies were found in cardboard boxes in the garage of her former house.
In February she pleaded guilty to six counts of murder.
A judge in the city of Provo gave her the maximum sentence of at least 30 years and up to life in prison.
Police said that the babies were born between 1996 and 2006 and were suffocated or strangled by Huntsman immediately after birth.
They said she put the bodies in plastic bags and packed them in boxes in the garage of her home in Pleasant Grove, about 45 miles (75km) south of Salt Lake City.
She left the boxes behind when she moved out of the house and they were found by her estranged husband, Darren West, last April. A seventh baby also found there was believed to be stillborn.
Police said Huntsman had been a heavy methamphetamine user and "didn't want the babies".
In court papers she said she wanted to take responsibility for the deaths.
Officials said Mr West was the father of the babies but he was not a suspect in the case. He and Huntsman have three other children together.
In April 2014 he had just been released after serving eight years in prison for drug crimes and was retrieving some of his belongings from the house when he made the gruesome discovery.
A final decision on how long Huntsman will spend behind bars will be made by a parole board. Prosecutors said that she was likely to spend the rest of her life in prison.

Scarlett Keeling was 15 when she was raped and killed while on the "trip of a lifetime" in Goa.
Placido Carvalho, 49, and Samson D'Souza, 37 were accused of killing her but acquitted in 2016.
Vikram Varma, who represents the teenager's family, said the India's Central Bureau of Investigation (CBI) had appealed the decision.
He said a hearing was scheduled for Monday and once all the requirements had been met, a notice would be sent to the accused to secure their presence at Bombay High Court.
"I am hopeful for a conviction, but it would be a long walk," Mr Varma said.
The men denied charges of culpable homicide, grievous sexual assault, destroying evidence, assault with criminal force with intent to outrage a woman's modesty and administering drugs with intent to harm.
But they were acquitted by judge Vandana Tendulkar at Goa Children's Court in September.
Scarlett's mother Fiona MacKeown said the legal process was like "a game of cat and mouse".
She said news of the appeal was "great" but that she still wanted a fresh investigation.
"It feels as if things are proactive. But it's nearly nine years ago, I don't know how much longer this is going to go on for."
Scarlett's bruised and partially clothed body was found on Anjuna beach in February 2008.
The police in Goa initially concluded the teenager died accidentally but, after a campaign by her family, a second post-mortem examination in March 2008 revealed she had been drugged and raped before drowning in seawater.
Delays in court saw a trial start in March 2010, but a verdict was not reached until 2016.
A woman in the US state of Utah who admitted killing six of her own newborn babies has been sentenced to up to life in prison.
[NEXT_CONCEPT]
An appeal has been lodged in the case of a Devon teenager killed in India in 2008, her family's lawyer has said.