The 21-year-old hailed the ability of the Bernabeu star and said he hopes to come out on top when his new side do battle with their Clasico rivals next season.
The forward will join the newly-crowned Liga champions this summer and the Brazil international also claimed his religious beliefs helped him to decide on making the switch to Spain.
“Cristiano Ronaldo is a great player," Neymar told reporters.
"He is skillful and it will be an honour to face him. Hopefully I can win.
“I talked to God to give me wisdom and directed me the right way, so I chose Barcelona.
“I chose to join Barcelona because it was a wish that came out of my heart. Change is always difficult, but I hope to be able to adapt as soon as possible."
Madrid were amongst a number of sides who were also chasing Neymar's signature until his transfer from Santos to Camp Nou was officially confirmed last week.