Members of the CGT, Unsa, Sud-Rail and CFDT unions in the greater Paris Île-de-France region called the strike over pay, working conditions and the opening up of certain lines to competition.
The strikes affect SNCF services including the regional Transilien services and the suburban RER lines.
SNCF has published a revised timetable for Monday.
RER line B – which links Paris with Charles de Gaulle and Orly airport – is running as normal.
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Lines J, L and U have half the normal services running.
Lines C, E and N have one in three trains running.
Lines A,H,K and T are also running as normal.
Line D has one train in three, but with a suspended interconnection between Châtelet and Gare de Lyon. Services from Corbeil to Juvisy via Ris-Orangis, Malesherbes and Melun are provided by bus.
Lines P and R have one train in three with some of the stations also served by bus.
Paris Metro, tram and bus services, which are run by RATP and not by SNCF, are unaffected.
The hardline CGT union has also called for a national strike on the railways on July 1st in a dispute over pay and working conditions.
However, it only involves a single union so is unlikely to cause widespread disruption.