During his time with Internazionale, he helped the team win the Champions League in 2009–10 and the Serie A title in 2008–09 and 2009–10. He was also part of the Portsmouth team that won the FA Cup in 2007–08. After becoming a full international in 2002, Muntari earned over 80 caps for the Ghanaian national team and was selected for two Africa Cup of Nations tournaments and three FIFA World Cups.