Kim, 32, gave birth to the couple's first child on June 15, one day before Father's Day and marked the special occasion with the collectors edition gifts, signed by Steve Jobs and Steve Wozniak.
Tweeting a picture of the present on Monday (01.07.13), Kanye wrote: ''One of the other gifts my girl gave me for fathers day (sic).''
Meanwhile it has been revealed that Kim and Kanye, 36, reportedly decided to share an intimate snap of the newborn via a multi-million dollar magazine deal but will donate all of the proceeds to a children's charity.
The couple previously turned down an offer of $3 million for the first images of their baby, while Kim was still pregnant.
However, the couple - who previously vowed to protect their daughter's privacy - have refused to appear with their baby on Kim's mother Kris Jenner's new talk show, which is set to debut later this month.
Kim has also informed producers that she won't allow North to be shown on her E! reality series 'Keeping Up with the Kardashians' next season.
Kanye recently declared that his child's privacy was his top priority.
Shortly before the baby's birth, he said: ''One of the things was just to be protective, that I would do anything to protect my child or my child's mother ... [But I haven't] fully developed those thoughts yet. I don't have a kid yet.
''Well, I just don't want to talk to America about my family. Like, this is my baby. This isn't America's baby.''
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