Ojomoh began his rugby career aged six at
Bath Rugby before joining
Chippenham RFC aged nine. He joined the Bath Rugby academy aged fourteen and in September 2019 made his club debut against
Exeter Chiefs in the
Premiership Rugby Cup. In March 2021, he made his first league appearance off the bench against
London Irish and his maiden European outing followed a week later against
Zebre Parma in the
EPCR Challenge Cup. He graduated from Bath Rugby's Academy to the senior squad in February 2022. Later that season, he scored a try in the
2024–25 EPCR Challenge Cup final as Bath defeated
Lyon at the
Millennium Stadium to win their first European trophy for seventeen years. In June 2025, Ojomoh scored a try in the
2024–25 Premiership Rugby final finishing an intercept by
Finn Russell, as Bath defeated
Leicester Tigers 23–21 to win the league title.
Steve Ojomoh, his father, had been part of the last side to win the Premiership title with Bath 29 years earlier. In November 2025, he assisted the winning try for
Henry Arundell in a 36–29 victory away at
Saracens. ==International career==