Amavubi advanced on the away goal rule after playing out a 1-1 draw in the reverse fixture last week away in the Tanzania port city of Mwanza.
Forwards Saimon Msuva, Hamid Mao and John Bocco all had opportunities to put the visitors in the lead but failed to beat Amavubi goalkeeper and captain, Eric ‘Bakame’ Ndayishimiye.
Right back Eric Iradukunda got a rare opportunity to put the host ahead when he was left one on one with Taifa Stars goalkeeper Aisha Manula, but fail to connect home.
Rwanda came back from the break the more aggressive side, piling pressure on Tanzania in their quest to break the deadlock.
Bocco continued to cause all sorts of problems for the Amavubi defence built around Thierry Manzi, Aimable Rucogoza and Aimable Nsabimana, who held on to ensure qualification.
“I am pleased with the performance and happy that we have qualified to the next round,” Rwanda coach Antoine Hey told the media.
Amavubi will face the Cranes of Uganda, who South Sudan 5-1 in Kampala at the final round.
22.07.2017 Kampala Uganda 5-1 South Sudan (0-0)
22.07.2017 Kigali Rwanda 0-0 Tanzania (1-1)
23.07.2017 Bujumbura Burundi vs Sudan*
West Zone A
22.07.2017 Dakar Senegal 3-1 Sierra Leone (1-1)
22.07.2017 Bamako Mali 4-0 Guinea (0-0)
22.07.2017 Conakry Guinea 7-0 Guinea Bissau (3-1)
23.07.2017 Nouakchott Mauritania vs Liberia (2-0)
West Zone B
23.07.2017 Cotonou Benin vs Togo (1-1)
22.07.2017 Moruleng South Africa 1-0 Botswana (2-0)
22.07.2017 Lusaka Zambia 3-0 Swaziland (4-0)
23.07.2017 Maseru Lesotho vs Comoros (0-2)
23.07.2017 Maputo Mozambique vs Madagascar (2-2)
23.07.2017 Luanda Angola vs Mauritius (1-0)
23.07.2017 Harare Zimbabwe vs Namibia (0-1)