According to the New York State Court Reporters Association, a freelance reporter should retain their notes for a time period set forth by a court order or statute, or for no less than 5 years.

For officials, the New York State Court Reporters Association’s website, has the following time periods for note retention listed for the following New York courts:
Family Court- 5 years.
Surrogate’s Court- 5 years.
City, Town and Village Courts (civil)- 2 years.
City, Town and Village Courts (criminal)- 10 years.
New York City only (vehicle/traffic/parking cases)- 2 years.
Supreme/County (civil)- 5 years.
Supreme/County (criminal)- 50 years.
Matrimonial stipulations of settlement involving real estate- 50 years.
Also, officials must reportedly apply for destruction approval before disposing of notes.