The Indomitable Lions scored in the second half to secure passage to the final, which is slated for Sunday in Libreville.
Michael Ngadeu-Ngadjui and Christian Bassogog were the heros of the day.
"I’m very happy and so are the players," Broos said.
"I hope this is not a dream. Ghana is good team, and more experienced than us. It is a good thing for this generation.
"Ghana relies on the vertical passes, usually from the two central midfielders and two central defenders, and we had to avoid them doing that.
"We scored at the good moment. The most important thing was that the team followed the tactical instructions."
By their win over Ghana, Cameroon have set a date with seven-time champions Egypt in the final.
The Indomitable Lions have not forgotten the 1-0 final defeat to the same side in 2008, an outcome that sets Broos' outfit up for revenge on Sunday.
"In my 29 years of coaching, I have never had a team like this," Broos said.
"This is a team of 23 friends and I have seen something like this.
"I’m aware Egypt beat Cameroon in the final in 2008, but we will do our best to win this time.
"It is a unique occasion for my team and reaching the final inspires us the more.
"Fourteen of them are playing in the Africa Cup of Nations for the first time, and they are motivated. Nobody believed in the team to reach this far.
"Egypt has more experience but the motivation will be more from my team. If we can do like we did in the last three games, I think we can be close."