The 37-year-old, recuperating from left hip surgery on Jan. 16, fielded grounders and took 25 swings during a batting practice session in an indoor cage Monday at the Yankees' minor league complex.
A-Rod, who has been hitting off a tee and taking swings at underhand soft tosses, ran from pole to pole near the warning track four times.
"Not bad," Rodriguez said when leaving the player's parking lot.
New York expects A-Rod to return after the All-Star break.
First baseman Mark Teixeira, sidelined by a right wrist injury, took another step toward playing in minor league games by batting in a simulated game against a pair of minor league pitchers. Teixeira has been out since injuring his wrist with the U.S. on March 5 before the World Baseball Classic.
Corner infielder Kevin Youkilis, on the disabled list with a lumbar spine sprain, continued taking on-field batting practice. He took grounders at third and made throws to both first and second base.
Youkilis also participated in Teixeira's simulated game but tracked the pitches and did not swing.