"staunch support of" is correct and usable in written English.
You can use it to talk about someone's strong support of something. For example, "The president voiced his staunch support of the new policy."
Geography also accounts for his staunch support of military programs with a Connecticut connection.
His staunch support of Communism was widely assumed both inside Russia and out.
Fox News maintains its staunch support of O'Reilly, who is no stranger to calculated onslaughts".
In Karak, a southern city known for its staunch support of the monarchy, protesters burned the house of the governor.
Mr. Prasad did not – because, quite possibly, he knew he had the staunch support of Mr. Patel.
It launched in Liverpool in 2010 with 160 cases and the staunch support of the writer Jimmy McGovern.
The Kerry campaign said the mailing distorted a record of staunch support for farmers.
Running on a campaign of staunch support for the war effort, Blaine was elected with an ample majority despite Republican losses across the rest of the country.
Instead, there was staunch support for the "rights" of business owners and, according to the respondents' written answers, a faith that the market would make discriminatory practices unprofitable.
The Republican candidates, sensing an opportunity to make inroads among Jewish voters, have made much of their staunch support for Israel and criticized Mr. Obama for what they characterize as lack of support for a close ally.
The Auburn faculty had been suspicious of Mr. Lowder long before this episode, mainly because of his staunch support for athletics.
