The 31-year-old, who currently plays for Russian side Spartak Moscow, was found guilty of assault, but cleared of attempted murder charges.
He was originally arrested in December 2020 regarding the incident that took place in July of that year.
NOS report that Promes stabbed his cousin in a the leg in a row over a stolen necklace.
He was not present at the court in Amsterdam, however, with the forward currently residing in Russia.
The court manager said: "Promes shows no insight into his behaviour. That is extremely worrying and serious."
The forward has also been ordered to pay £6000 in compensation to the victim.
Promes is currently in his second spell with Spartak Moscow, having spent four seasons there between 2014 and 2018.
He spent one season with Sevilla, before heading to Ajax for two campaigns where he featured 53 times and scored 22 goals.
Promes then rejoined Spartak Moscow in 2021 and has 37 goals in 74 games in a prolific second spell.
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The forward has also made 50 appearances for the Netherlands.