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Disney has elevated its supply for 21st Century Fox to $71.3bn in money and shares, up from an earlier $52bn supply.
The transfer values Fox at $38 a share, some $10 increased than Disney's first supply in December.
Disney is locked in a battle with US media conglomerate Comcast, which has supplied $65bn in money for Fox.
"The acquisition of 21st Century Fox will bring significant financial value to the shareholders of both companies," mentioned Disney boss Robert Iger.
The improved supply got here as 21st Century Fox board was set to resolve whether or not to again Comcast's bid for assets that embrace Fox's movie and tv studios and worldwide companies.
Disney additionally needs to amass these companies. The two corporations are additionally vying for possession of Sky within the UK.
Fox mentioned it might now permit shareholders to judge Disney's amended supply. Disney's newest supply is "superior" to the proposal made by Comcast, Fox mentioned in a assertion.
In pre-market trading, Fox shares rose 5.4% to $47.11, Comcast's had been marginally decrease, whereas Disney's rose by 1.3% to $107.50.
Any takeover by both Disney or Comcast could be prone to face regulatory scrutiny.
The United States authorities is at present suing to dam a merger between Time Warner, and the telecoms large AT&T.
The combat for 21st Century Fox comes as conventional media teams scramble to consolidate within the face mounting competitors from on-line challengers like Netflix and Amazon.
It has pushed broadcast large CBS to attempt to merge with Viacom, which owns the MTV and Nickelodeon tv stations.
It has additionally spurred AT&T's $85.4bn supply for Time Warner, whose assets embrace pay TV channel HBO.