Mora was signed out of Venezuela in 1991. After spending seven years in the Astros minors system and couple of months in CPBL's Mercuries Tigers, he signed as a free agent with the Mets in 1998 and made his major league debut in the 1999 season. With his ability to play all three outfield positions, shortstop, second base and third, Mora was considered a valuable man to have around.In 1999, he scored the winning run of the final game of the year for the Mets on a wild pitch by the Pirates' Brad Clontz, which propelled the Mets to a one-game playoff with Cincinnati, which they won.

Used as a utility player in Baltimore, Mora showed promise and hints of ability to contribute as an everyday player but struggled to break through. Things changed when an injury-depleted Orioles team used Mora almost exclusively in left field, and Mora responded with the best stretch of his career. He reached base in 32 straight games while using a 23-game hitting streak to temporarily become the American League batting leader. Finally excelling as a hitter, Mora was chosen for his first All-Star selection. Mora's season was cut short due to injuries (a bruised wrist and a partially torn ligament in his left knee), but finished with a .317 batting average, 15 home runs, and a .418 on-base percentage in 96 games.

Mora was signed out of Venezuela in 1991. After spending seven years in the Astros minors system and couple of months in CPBL's Mercuries Tigers, he signed as a free agent with the Mets in 1998 and made his major league debut in the 1999 season. With his ability to play all three outfield positions, shortstop, second base and third, Mora was considered a valuable man to have around.In 1999, he scored the winning run of the final game of the year for the Mets on a wild pitch by the Pirates' Brad Clontz, which propelled the Mets to a one-game playoff with Cincinnati, which they won.

Used as a utility player in Baltimore, Mora showed promise and hints of ability to contribute as an everyday player but struggled to break through. Things changed when an injury-depleted Orioles team used Mora almost exclusively in left field, and Mora responded with the best stretch of his career. He reached base in 32 straight games while using a 23-game hitting streak to temporarily become the American League batting leader. Finally excelling as a hitter, Mora was chosen for his first All-Star selection. Mora's season was cut short due to injuries (a bruised wrist and a partially torn ligament in his left knee), but finished with a .317 batting average, 15 home runs, and a .418 on-base percentage in 96 games.