The woman suspect was captured along with two other people in Aksaray province in central Turkey, carrying a fake passport, Anadolu said.
The latest capture brings the total number of arrests up to six in connection with Thursday's bombing in the Yenibosna district of Istanbul, close to the city's main international airport.
At least 10 people were wounded when a bomb which authorities said was attached to a motorbike exploded. Television pictures showed several cars wrecked and shards of glass scattering the ground after the blast.
The PKK, listed as a terror group by Turkey and its Western allies, has resumed deadly attacks since the collapse of a fragile truce in 2015.
Over 40,000 people have been killed since the PKK first took up arms in 1984.
Thursday's strike was the first bomb attack in Istanbul since the failed July 15 coup seeking to oust the government from power.