Yasmin Chaudhry, 28, and her British boyfriend, Ammaz Omer Qureshi, 35, are charged in the October 2010 death of Chaudhry's daughter from another relationship.
Chaudhry and Qureshi, who allegedly gave Chaudhry instructions on punishing the child for interrupting their online video chat, entered their pleas Monday in Oslo District Court, TheLocal.no reported.
Authorities say Chaudhry allegedly followed Qureshi's instructions to hold her daughter's head under water until she passed out, then called emergency services the next day to report the incident as an accident. The toddler died in a hospital the next day.
While Qureshi denied any involvement in crime, Chaudhry admitted in court that at his direction she administered harsh punishment to her daughter so she would not develop Western attitudes, TheLocal.no said.
"I had to command respect from her. If not, she would turn into a typical Norwegian woman, just asking to be raped," she told the court.
The couple are accused of torturing the girl over a six-month period, with Qureshi watching some of the abuse online, the news website said.