The security forces and police conducted a joint search operation in Bajkata area and killed TTP commander after brief exchange of fire.
The law enforcement and security agencies have stepped up operations in areas of Karachi following Peshawar school attack.
Pakistan must find the will to confront not just jihadist fighters, but also their project
The group was founded in 2007 by jihadi commander Baitullah Mehsud.
Malala survived a Taliban attack on 2012 for standing up for the right of education to girls in Pakistan.
The details about the new spokesperson were not given but a senior militant commander said he is using his jihadi name.
Waqas, 24, was shown as having been arrested in Ajmer on March 23, 2013, and accused of involvement in the bombings in Mumbai, Pune and Hyderabad.
Ashiq Ullah Mehsud was killed in a clash in the Hurman village near Mir Ali town in north Waziristan.
It says the South Waziristan branch has differences with the Taliban chief Mullah Fazlullah over the ongoing peace negotiations with the government.
Wednesday’s bombing in North Waziristan came a day after police confirmed that a Chinese tourist had been abducted in the area.
Ibrahim Khan said meeting with the Taliban leadership would be held very soon.
Maulana Yusuf Shah said fighting between two “minor” groups would have no effect on talks and situation would be clear in next two-three days.
The Pakistani Taliban have been fighting for years to overthrow the government and impose strict Islamic law.
Musharraf did not appear on Tuesday following a security alert issued that he might be targeted by terrorists.
Blasts were the latest attack on efforts to root out the crippling disease in Pakistan, which is one of only three countries where polio remains endemic.