Altunbey was born in Adana. He started playing basketball in Adana Tofaş Çağ Spor Kulübü. He moved to Banvit in 2009. He was loaned to TB2L team Bandırma Kırmızı which is the pilot club of Banvit. He played first TBL season in 2011–2012, with Bandırma Kırmızı. In 2013, he moved to Banvit first team but he continued to playing with Bandırma Kırmızı until 2014 via dual licence.