Argent, known as Arg, rose to fame on the ITV reality show, becoming one of its most prominent characters between 2010 and 2018.
Spanish police said he was arrested on 5 May for "an alleged crime of domestic violence".
Argent appeared before the Court of Violence against Women, in Fuengirola, later that day.
A spokesman for the Spanish Ministry of Justice said Argent "acknowledges the facts and admits the penalty".
He said the crime was "ill-treatment in the field of gender violence" and that Argent must complete a gender violence rehabilitation course as part of his sentence.
"The suspension would be lifted if [Argent] fails to comply with the measures imposed," the spokesman added.
The victim, Ms Artursson, is a fashion model who was crowned Miss Sweden in 2011.