The Inter pair will both be missing for the team's match against Parma, while the forward will also be suspended for the visit of Palermo after arguing with officials.
Cassano has been banned for his side's next two matches, meaning he will miss the games against Parma and Palermo, while Stramaccioni will be absent from the dugout for just the Parma match.
The former Milan forward has been punished for arguing with the officials while walking down the tunnel post-match after the San Siro outfit was denied a late penalty by the referee that would have handed the club a chance of taking all three points.
Stramaccioni was sent to the stands for his protests regarding the decision and will be forced to watch away from the technical area when his side travel to the Stadio Ennio Tardini next Monday.
The decisions are a blow to the 2010 Serie A champions, as they look to cut the four-point gap to leaders Juventus at the top of the table.