The phrase 'promise of support' is correct and can be used in written English.
You can use it when you want to express a commitment of assistance to someone or something. For example, "We made a promise of support to our local charity, pledging to donate a percentage of our profits to their cause."
The budget should be providing immediate help for parents, not some promise of support long after the next election.
The promise of support alone was enough to reassure investors: the central bank has not had to actually buy any bonds under the program.
There and in London he offered sovereignty over the southern Netherlands to the Dutch House of Orange and won a promise of support from Prussia.
Sometimes the patron's promise of support persuades the client to act recklessly, and then the patron ends up backing the recklessness because its own credibility is at stake.
With no promise of support from the corridors of power, King has little alternative but to take his fight to the streets of Selma.
That has led critics to say that the Conservatives reached a "quid pro quo" understanding that involved a promise of support for the BSkyB bid in return for Mr. Murdoch's election backing.
Even the political support appeared to line up, a promise of funding support before a national election, state government support, and a local mayor backing in his community and workers and their unions with environmental activists singing in tune.
In contrast, Etsy, the handmade goods marketplace, came under fire in 2013 for appearing to depart from its promise of supporting hand-crafted, unique alternatives to mass manufactured goods by relaxing its definition of "handmade".
Ivo H. Daalder, an arms control expert at the Brookings Institution in Washington, said Mr. Bush's declaration demonstrated to the Russians that both candidates held out the promise of supporting much deeper cuts in the nuclear arsenals.
The government, which was formed after the 2010 general election, consisted of a minority coalition of Rutte's right-of-centre People's Party for Freedom and Democracy VVDD) and the centre-right Christian Democrats that was made possible only by the consent and a promise of supporting votes in the parliament of the anti-immigrant Party for Freedom (PVV).
This massive quantity of data hold the promise of supporting a wide range of medical and healthcare functions, including clinical decision support, sensor-based health condition and food safety monitoring, disease surveillance, and population health management, etc. [4, 5, 6].
