Hamilton Accies held the edge in terms of play and chances in a draw which was largely bogged down in midfield.
Hamilton's Paul McLeod and James McCarthy went close with shots early on before Andy Dowie headed a Derek Adams cross wide for the visitors.
James McArthur fired a McCarthy pass just over from 25 yards, and after the break Hamilton's David Winters sent a shot into the side-netting.
County's Michael Gardyn cashed in on a short back-pass only to shoot wide.
Hamilton Academical: Jellema, Parratt, Gibson, Stevenson, Elebert, Easton (McArthur 37), McLeod, McCarthy (Agnew 58), Wake, Neil, Winters. Subs Not Used: Rezgane, Coult, McEwan.
Ross County: Samson, Gary Irvine, Keddie, Dowie (Hooks 77), McKinlay, Gunn, Gardyn (Caimi 70), Adams, Crooks, Scott, Robertson. Subs Not Used: McCulloch, Moore, Malin.
Booked: Gunn, Caimi.
Ref: A Muir