OLR Report 2016-R-0004 describes the process by which justices of the peace are selected and their duties.
In Connecticut, the process for selecting a justice of the peace is prescribed by statute (CGS §§ 9-183a, et. seq.). By law, two-thirds are selected by major political parties and the remaining third of the positions are reserved for electors who are not members of the major parties.
The duties of a justice of the peace are also prescribed by statute. These include administering oaths, acknowledging certain legal documents, and issuing tax warrants.
For more information, read the full report here.