In 979, the first year of Qianheng (乾亨), Han fought against the Northern Song dynasty's invasion at Youdu, Nanjing, and was awarded the Liaoxing Army (辽兴军) not long after his campaign against it.
Han led his army to defeat Cao Bin (曹彬) and Mi Xin (米信)'s troops in their expedition to the Northern Song dynasty.
He was later appointed as both Prime Minister of Northern Song (北府宰相) and the Secret Envoy of the Privy Council (兼领枢密使).
After the alliance of Chanyuan, Han become Grand King of Jin (晋国王) and was given Liao's imperial name as Yelü Longyun (耶律隆运).
Therefore, during Emperor Daozong's reign, they took Yelü Zongxi, King of Wei (耶律宗熙 魏王)'s son as their heir.