Sotoudeh's husband, Reza Khandan, wrote on the Facebook social-media site that Sotoudeh was given permission to see her 5-year-old son, Nima, and 12-year-old daughter, Mehraveh, for several minutes on November 12.
Mehraveh reportedly said that her mother was continuing her hunger strike.
Sotoudeh stopped eating on October 31 after prison authorities banned her relatives from visiting her.
Last month, Sotoudeh was awarded the European Parliament's Sakharov Prize for Freedom of Thought for 2012.
Jailed Iranian filmmaker Jafar Panahi also won the prize.