The duo both picked up yellow cards during the Bhoys' dramatic 4-3 extra-time win over Dundee United at Hampden Park on Sunday.
The bookings mean they will both now miss the showpiece final, also at Hampden, against Hibernian next month.
Nigeria international Ambrose, who signed from Israeli side FC Ashdod last summer, says his team-mates' disappointment has given him added motivation to go on and lift the trophy.
"It is bad for them to miss out because they are such big players for us, especially Victor," said the 24-year-old.
"They have been very important to the team, but it is up to us now to go and win it for them.
"We have wanted to win the league and cup double because it has been a long time since Celtic achieved that, but now we have another reason to go and try to win the Scottish Cup.
"They might not be on the park next month, but they have played a big part in making sure that as a team we will be at Hampden for the final."