Step 1: Identify Rihla.
The "Rihla" (meaning "The Journey") is a famous travel account that provides vivid descriptions of 14th-century societies across Africa, West Asia, India, and beyond.
Step 2: Authorship.
The Moroccan traveler Ibn Battuta wrote the Rihla after traveling extensively for almost 30 years, covering more than 40 countries of the modern world.
Step 3: Conclusion.
Therefore, the author of Rihla was Ibn Battuta.
\[
\boxed{\text{Ibn Battuta}}
\]