"For the moment, we have too many forwards and we can't give them all as much playing time as we would like."
Muntari's signing also signals the end of Inter's interest in Chelsea midfielder Frank Lampard, at least until next summer when his contract is due to run out.
"Muntari is the last buy," Inter director Gabriele Oriali said on Monday.
"Now we will work on trimming the squad because Mourinho wants 22 players and three goalkeepers. There will be some painful goodbyes."
Portsmouth signed Muntari from Udinese for £7m in May 2007 and he was an ever-present in their first team last season, scoring seven goals.
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