Five to six shots were fired by the unidentified gunman from inside a van at the offices of the Hürriyet Daily News in Ankara before they escaped.
Harriet Daily News is understood to be the oldest English newspaper in Turkey since it was founded in 1961.
The newspaper is known for its secular and liberal or centre-left position on most political issues, in contrast to its main competitors.
Police terror and intelligence experts were continuing inspections at the building. There are not yet reports of any injuries.
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The headquarters of the daily is based at the Dogan Medya Tower in Istanbul.
Ankara Police Chief Hakan Ar?kan said: “Give us some time to understand what has happened.
Hürriyet Editor-in-Chief Sedat Ergin added:“All we can say is seven windows at different floors of the building's front side exploded.
“We do not have a certain information on the cause of the explosion.
“The crime scene investigation report will show wether it was caused by an external intervention or it was tied to the structure of the building.
"I have talked to the Ankara police chief. A ballistic inspection is carried out and camera recordings are being reviewed. We are waiting for the report. It would not be right to comment before this report.”
This is not the first time the publication has been attacked.
In September, more than 100 angry protestors led by the former Justice and Development Party deputy attacked the headquarters.