The company also petitioned the Ankara 4th Administrative Court, seeking an injunction against the ban.
The Twitter ban, which started with a court ruling on March 27, was reversed by a Constitutional Court decision on April 2.
Yet access to YouTube remains blocked, even after the court that initially ordered the ban reversed its own ruling.
The Gölbaşı Criminal Court of Peace, which blocked nationwide access to YouTube, reversed its ruling on April 4 following an appeal.
The ban came after a meeting between top security officials was leaked onto the video-sharing website.