The France international has expressed his desire to play in one team with the illustrious duo, and was full of praise for Jose Mourinho, who he described as the best
Messi netted an impressive 50 goals in La Liga this term to win the Pichichi trophy, while Cristiano Ronaldo became the first player to score against every opponent in a single league season as he guided Los Blancos to the Primera Division title.
"Messi or Cristiano Ronaldo? I can't choose between the two of them, because they are different players. I would really like to play with both of them," Benzema was quoted as saying by RMC.
The Frenchman then went on to praise Madrid coach Jose Mourinho, and stated that the Portuguese trainer is the best he has ever worked under.
"He [Mourinho] is the absolute number one for me. I have had some great coaches, but he is without doubt the best."
The France international took time to settle in the Spanish capital but he nailed down a regular berth in the Blancos frontline this season and played a key role in the club's Liga triumph.
Benzema is just 24 but he confessed that he is open to the idea of spending the rest of his playing days in Madrid.
"Why not finish my career here? I don't know if I can play for as many years as Raul, though! We'll see. Everything is going super well for me now. We have won the league and we're all really proud of this team.
"It is true that at first it was a bit tricky for me because it was the first time that I had been separated from my family.
"But with patience and hard work everything got better. I had always intended to play for this team and today I am very happy."
Benzema also explained that France legend and current Madrid sporting director Zinedine Zidane and coach Jose Mourinho both played a key role as he finally settled at the club.
"Zidane's help was important for me," he admitted. "He is the best player of all time in France and he spoke with me.
"And Mou always told me what he wanted from me. We talked a lot and he trusted in me."
Benzema, who joined Madrid from Lyon in 2009, bagged 21 goals in 34 Liga appearances this term.