A previous statement said one serviceman was killed and another wounded in that attack.
Turkey's military launched an incursion into northern Syria's Afrin region against the US -backed YPG militia two weeks ago.
The Turkish army has used all its military capabilities and weapons, including the prohibited ones, but failed to advance into Afrin, the SDF said in a statement.
Ankara says that major progress has been made in the 15-day operation, with nearly 900 YPG fighters killed so far although it is not possible to verify these figures.
A senior Turkish journalist was injured in a cross-border attack by Kurdistan Workers' Party (PYD/PKK ) terror group while covering ongoing operation in Syria's Afrin region.
Turkish forces immediately responded to attacks with Fırtına howitzers.
Thousands of Kurds protested on Saturday outside the Council of Europe in Strasbourg over Turkey's offensive against a Kurdish militia in northwestern Syria.
Erdogan said in a speech Saturday that the Turkish forces were beginning to take mountain positions and would now head towards Afrin itself. "We have given the necessary response instantly, and we continue to do so", Yildirim said. Turkey considers the YPG a "terrorist" group.
The Ankara governor's office said authorities had also detained eight people suspected of links to the alleged bomber, whom it identified as a man who had trained with Kurdish militants in Syria.
One Turkish soldier was killed in clash with YPG militants in Syria's Afrin as part of the "Operation Olive Branch" which was started on January 20 to remove YPG and ISIL militants from the region.