The Qatar-based satellite channel said current minister of state for interior affairs, Sheikh Abdullah bin Naser Al Thani, had been chosen to be the next prime minister, succeeding Sheikh Hamad bin Jassim Al Thani, who is also the foreign minister and head of .
Sheikh Tamim bin Hamad Al Thani was named emir following the abdication of his father on Tuesday.
Qatar is the world's largest exporter of liquefied natural gas and key financier of Arab Spring uprisings.
Diplomats said earlier this month that Sheikh Hamad bin Jassim was expected to step down as part of the transition.
Sheikh Tamim is due to deliver his first address to Qatari citizens on Wednesday evening.