Left-wing website sendika.Org said its editor-in-chief Ali Ergin Demirhan was held in a pre-down raid on its offices.
The arrest comes after at least 16 leftist activists involved in demonstrations against the 'Yes' victory were detained by Istanbul police yesterday. In all, a total of 38 arrest warrants were issued.
The 'Yes' camp won Sunday's poll with just 51.41 percent of the vote but the opposition has alleged there was foul play that swung the outcome of the vote.
There have been daily street protests in anti-Erdogan neighbourhoods in Istanbul after the referendum.
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Sendika.Org said Demirhan was detained on accusations of "organising protests on social media while attempting to depict the results of the referendum as illegitimate" and "inciting people to enmity".
It added that his hard disk and personal cell phone were confiscated in the raid.
The news site has made clear its opposition to the result, saying "the 'Yes' will not be legitimised, sendika.Org will not be silenced" and calling for protests.
Turkish media said that six people were detained in the Aegean city of Izmir on accusations of "insulting" Erdogan in public on the night of the referendum.
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