The women and their three children were allowed to return from northern Iraq and will not be arrested. German federal prosecutors say their request for a warrant was denied by the Federal Supreme Court.
Two German Islamic State (IS) wives returned to Germany Thursday, on board a Lufthansa flight to Frankfurt.
They are said to have been in a northern Iraqi jail in Kurdish Erbil before returning. German federal prosecutors claim the women are radical Islamists, but their request for an arrest warrant was denied by Germany's Federal Supreme Court (BGH).
Last year, Attorney General Peter Frank announced his intention to go after "women who voluntarily join the IS community," which he said constituted "support for a foreign terrorist organization."
Hans-Georg Maasen, president of the Federal Office for the Protection of the Constitution (BfV), previously said: "Women who have lived in IS-held areas over the last few years have often been radicalized. They identify so closely with the IS ideology that one can rightly call them jihadis."
Speaking of children born into IS families and thus potentially brainwashed, Maasen also said: "One must consider that these children could be living time bombs."
What do we know about the women? The women, Sibel H., of Turkish-German descent from the state of Hesse, and Sabine S., a German convert from Baden-Württemberg, were allowed free entry into the country with their three children.
On high alert: Germany, along with other European countries, has greeted the fall of Islamic State but is also wary of the threat posed by the return of nationals who joined the radical group.
Not alone: German intelligence services estimate that more than 960 Islamists traveled from Germany to join IS in Syria and Iraq and that roughly one-third have already returned.
js/rt (AFP, dpa)