New York State Civil Service Law sect 76 allows permanent civil service employees to appeal disciplinary penalties.
The statute states in pertinent part: http://public.leginfo.state.ny.us/lawssrch.cgi?NVLWO:
The New York City Civil Service Commission website explains the Commission’s role in the process:
http://www.nyc.gov/html/csc/html/appeals/s76disciplinary.shtml
After receiving discipline an employee may choose to file a lawsuit or Article 78