During the World Cup 2014 qualifying stage, Božović maintained his role as Montenegro's first-choice goalkeeper, appearing in eight games (out of 10), as the team finished in third place behind England and Ukraine.
Selama babak kualifikasi Piala Dunia FIFA 2014, Božović mempertahankan perannya sebagai kiper pilihan pertama Montenegro, tampil dalam delapan pertandingan (dari 10), saat timnya menempati posisi ketiga di belakang Inggris dan Ukraina.