The BBC reports that Frederick Chiluba Jr was convicted of stealing a Samsung S7 Egde, valued at $ 843 last year.
The court heard that Chiluba Jr had stolen the phone from a woman, Brenda Chisha, on September 2, 2017, and sold it to her in a notorious slum in the Zambian capital, Lusaka.
In a ruling on Thursday, Lusaka magistrate Nthandose Chabala said she gave Chiluba Jr a custodial sentence as a deterrent for him and other potential criminals.
She stated that she was satisfied that there was sufficient evidence linking him to the theft of the phone, and that the prosecution had proved its case beyond a reasonable doubt.
Fréderick Chiluba led Zambia from 1991 to 2001. He was prosecuted for corruption and misappropriation of public funds in 2002 but was acquitted after a six-year trial.
In 2007, he was convicted of fraud by a London court and ordered to repay $ 58 million in hijacked funds, but the decision went unanswered.