Warrington's vital stops came as Stanley looked likely to break the stalemate and Rotherham youngster Ryan Taylor blew the Millers best opportunities.
With a strong blustery wind swirling around Don Valley Stadium, conditions were far from perfect.
But from an early set-piece Rotherham caused panic in the Accrington area. Jamie Green curled in a wicked corner and keeper Kenny Arthur's poor punch directed the ball towards striker Drewe Broughton but the visitors cleared.
At the other end a corner from John Miles was headed goalwards by Michael Symes but Green cleared the ball off the line.
Another Accrington effort flashed an early warning to the home side but Craig Lindfield's shot on the run was wide.
Rotherham's 16-goal leading scorer Reuben Reid created a chance from nothing when he cut in from the right but Arthur produced a quality save to turn away the left-foot shot.
Another Arthur stop came in the 25th minute when he was well positioned to meet Nick Fenton's header from Pablo Mills' free-kick.
Arthur's opposite number, Warrington, denied Accrington a goal before the break when he tipped over another header from Symes from Miles' free-kick.
Soon after the restart Accrington might have grabbed a controversial goal when Lindfield looked offside but fired wide from six yards out.
Then Ryan Taylor blew a carbon-copy chance for the home side after half time sub Mark Burchill had chested the ball down. He found space but the youngster dragged his close-range shot wide.
And almost immediately he was guilty of missing another good chance when he hoisted the ball over the top.
Another set-piece gave Stanley an opportunity when Miles' corner dropped for Symes, but his angled shot from two yards out was kept out by Warrington's point-blank stop.
Dale Tonge was close to scoring straight from a corner when he whipped in a wind assisted ball but Phil Edwards cleared off the line as the match eventually ended in a stalemate, leaving both sidesp laced in mid table, clear of relegation but Rotherham's play off hopes are ended even with games in hand.