A ranar 4 ga Yuli, 2008, Power ta auri malamin shari'a Cass Sunstein, wanda ta sadu da shi yayin da take aiki a kan
Yaƙin neman zaɓe na Obama. Sun yi aure a cikin Cocin Maryamu marar tsarki, Lohar, Waterville, County Kerry, a Ireland. A ranar 24 ga Afrilu, 2009, ta haifi ɗansu na farko, Declan Power Sunstein. A ranar 1 ga Yuni, 2012, ta haifi ɗansu na biyu, 'yar, Rían Power Sunstein.