The 560 pence per share cash offer for St. Modwen is the final offer, the companies said, adding that Blackstone could make another proposal if another suitor for St. Modwen emerged.
Last month, Blackstone put forward a 542 pence per share takeover proposal, after the U.S.-based company had made a series of overtures to the British real estate developer.
The latest offer is at a premium of about 25% to St. Modwen's closing price the day before the first offer was made in May. The company builds homes, owns and manages several industrial and logistics assets in Britain.
($1 = 0.7162 pounds)
(Reporting by Pushkala Aripaka in Bengaluru; Editing by Shounak Dasgupta)