The hour-long meeting between the two leaders was held at Parliament House.
Precise details of what they discussed were not known but informed sources told IANS that both leaders discussed development related issues.
After meeting Modi, Yogi Adityanath didn't speak to the media and left for Home Minister Rajnath Singh's residence. Earlier, he called on Finance Minister Arun Jaitley.
Adityanath, who arrived in Delhi earlier in the day, will also meet President Pranab Mukherjee, BJP President Amit Shah, External Affairs Minister Sushma Swaraj and veteran party leader L.K. Advani.
During his meeting with Shah, Adityanath is likely to discuss portfolio distribution in his ministry.
Adityanath was sworn in as Chief Minister of Uttar Pradesh on Sunday after the Bharatiya Janata Party was swept to power in the state.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)