Southport kept a fourth consecutive clean sheet but were unable to break down Forest Green.
Chances were at a premium in a scrappy game which saw seven players booked.
Rovers keeper James Bittner did well to keep out Matty McGinn's left-footed free-kick and Ben Gill saw his header parried by Southport's Tony McMillan.
Reece Styche, Jon Else and Lee Smith all tested McMillan during a second half in which Forest Green looked the more likely to break the deadlock.
Forest Green: Bittner, Herring, Luke Jones, Grimes, McDonald, Lee Fowler, Mike Fowler (Smith 64), Gill, Else (Davies 79), Klukowski, Styche. Subs Not Used: Zak Jones, Armstrong, Baldwin.
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