The trial was held behind closed doors at Colmar Criminal Court, in northeast France, which publicly announced the sentence late Friday.
The 60-year-old cleric, who will have to spend at least two years behind bars and be under restrictions for the rest of his term, could have faced up to 10 years in prison.
The priest will also have to undergo psychological treatment, which he has already started, according to his lawyers.
Under the judgement, he is forbidden from contacting his victims or any activity involving minors. He is also barred from staying in the Alsace region, where the offences were committed.
His sentence was lighter than that sought by the public prosecutor, who had asked for four years in prison followed by three years under a supervision order.
The trial was held behind closed doors at the request of three of the four victims, who were minors at the start of the offences, the youngest just nine.
The attacks, which continued after three of the victims were adults, took place between 2001 and 2006 and between 2011 and 2016.
The priest, who was remanded in custody for three months at the start of the case in September 2016, “bitterly regrets the crimes that he has acknowledged (…) and offers his apology to the victims and to people (…) injured by such intolerable acts,” his lawyer Thierry Moser said in a statement.
He had admitted to having diverted more than 100,000 euros in money destined for the Church and transferred it to one of the victims, then an adult, in exchange for sexual favours.
In total, he paid her more than 240,000 euros, including a portion of his personal wealth.
The victim, now 29, had been charged with “concealment of breach of trust” but was released after the court found there was insufficient evidence to prove she knew the source of the money.
France's Catholic Church has been roiled in recent years by claims against priests which have come to light in the wake of a global move by victims of abuse to come forward with evidence.