The phrase "give first priority" is correct and usable in written English.
You can use this phrase when you are emphasizing importance or emphasizing what should be done first. For example, "We need to give first priority to supporting our staff during this difficult time."
Although they covered different types of conduct, MF Global's two policies give first priority to paying for the expenses of individual employees.
The F.C.C. had favored auctioning off the section of spectrum that now will be turned over for emergency services, letting it be developed by cellphone companies that would agree to give first priority to public safety transmissions during an emergency.
Breaking the dependence of Congress on special-interest contributions, Mr. Lessig maintains, would give first priority to citizens and secondary consideration to the claims of corporate and trade association lobbyists in just such important discussions.
Furthermore, if money and labor are limited, such a plan (especially in the mid-Atlantic region of North America) should give first priority to protecting seedlings from herbivory and assign protection from plant competition a lower priority.
People in China who suffer from a persistent cough always give first priority to TCM.
Researchers, guideline developers, and funding institutions should give first priority to developing such a new type of CPGs.
Thus, SMEs are advised to give second priority to developing their international networking orientation, and the last priority on international marketing orientation and international motivation.
Residents are not guaranteed placement in the assisted-living unit on the property at a later date, although they will be given first priority.
When they are identified as a vulnerable group, they are rarely given first priority but come after children and pregnant women and lactating women.
It gave first priority to full-time employees of the Village of Rye Brook and the two school districts that serve it.
