Morgan’s lawyer said the lifelong Reds fan had “lost patience” with the club’s current board over their failure to strike a deal.
The multi-millionaire property developer has made four bids for boardroom influence at Anfield and had pleaded at the club’s annual general meeting earlier this month for a chance.
But Morgan walked away with Liverpool rejecting his accusations that they were using him as a “stalking horse” to attract other bids.
Morgan’s lawyer Vincent Fairclough said: “Steve has finally lost patience with the Liverpool board using his offer as a stopgap while they scour the world looking for a better one. He is no longer prepared to be used as a stalking horse.
“Although Mr Morgan’s earlier offers were to invest all £70m directly into the club this was not acceptable to the chairman.
“At the AGM, chairman David Moores said it was ‘maybe time’ to accept the offer. However, he and the Liverpool board have since failed to respond, either positively or negatively.
“Steve has had enough. He has got other things to do with his life.”
Moores had appeared close to breaking point at the AGM when a majority of the audience supported a plea from Morgan’s wife, Didi, for a deal to be struck.
It came in the wake of the announcement of record £21.9m losses and estimates that costs for the club’s projected new stadium in Stanley Park had soared to £115m.
Real Madrid coach Mariano Garcia Remon would like Liverpool target Fernando Morientes to stay at the Bernabeu but admits he may not be able to satisfy the striker’s desire for first-team football.
The former Spain international is thought to be heading Liverpool’s shopping list as they look to strengthen an attacking line depleted by injury and the summer sale of Michael Owen, whose arrival in Madrid has severely limited Morientes’ playing opportunities this term.
Garcia Remon said: “I understand that Morientes wants to leave and that he wants to play. He is a great professional and being selfish I would like him to stay, but he’s not playing the minutes he deserves because only 11 can play at the same time.”
Garcia Remon has also backed the almost certain arrival of former AC Milan coach Arrigo Sacchi as Real’s new club manager.