There was no immediate comment from Haftar's Libyan NationalArmy (LNA) on whether its forces remained in the town, a dayafter they were pushed from their last positions in the capital.
Turkish backing has helped the internationally recognisedGovernment of National Accord (GNA) to a string of victories inrecent weeks, ending an assault on Tripoli that led to battlesin its southern suburbs and bombardment of the city centre.
The GNA operations room said in a statement that its forceshad reached the centre of Tarhouna after entering from foursides.
Abdelsalam Ahmed, a resident of Tarhouna, said GNA forceshad entered the town.
Libya's conflict is far from over, however, with the LNAstill controlling the country's east, where there is a paralleladministration, and large parts of the south, where thecountry's main oilfields are located.
The LNA is backed by Russia, the United Arab Emirates andEgypt.
The United Nations has warned that a recent flood of weaponsand fighters to both sides in Libya risks a major newescalation.
(Reporting by Angus McDowall; editing by Jason Neely) ((angus.mcdowall@thomsonreuters.com; Reuters Messaging:angus.mcdowall.thomsonreuters.com@reuters.net))