In both cases (and in many others) the Holy Spirit is equated with the Old Testament term "the Spirit of God".
"Roho ya Bwana Mungu i juu yangu"katika masuala yote mawili (na katika mengi mengine) Roho Mtakatifu amelinganishwa na neno lililo katika Agano la Kale "Roho ya Mungu".