Spanish prosecutors also drop the investigation against other former suspects, including Neymar's parents.
Neymar, today at Paris Saint-Germain, was accused of fraud and corruption over his move to Barcelona from Santos in 2013.
The 30-year-old has said he does not remember whether he took part in the negotiations that led to the deal being struck in 2011. The transfer was completed two years later.
Spanish prosecutors initially requested two years in prison for Neymar as a penalty and a 10 million euro fine.
In Spain, a prison sentence of two years is converted into a suspended sentence if the perpetrator has not been previously punished and it is not a violent crime.