"continuing priority" is a correct and usable phrase in written English.
It is typically used to describe something that is receiving consistent or ongoing attention and importance. For example, "Health and safety remains a continuing priority for the company."
I have spoken to the prime minister this afternoon and this remains the UK government's continuing priority.
The first is the continuing priority, in both party political and public spending terms, that the Tories intend to attach to older people as voters and as recipients of state financial support.
Continuing priority is needed to improve adverse cardiovascular risk profiles in socially disadvantaged groups in the UK.
Security management remains an area that must be given continuing priority and resources.
Although it seems to have taken 78 years for ATA to convene this first-of-its-kind Symposium on Iodine Deficiency Disorders, we count on you to make this a continuing priority in the future.
This work needs to be a continuing priority".
It is recommended that the development of CFPs receive continued priority as an important tool and EMPRES/CR should renew efforts to assist countries to develop CFPs.
Ensuring that all staff involved are highly competent, as well as ensuring that there are enough staff available, requires continued priority attention to training and staffing activities from the NTP, other sectors of the Ministry of Health, other ministries, as well as from donors and other partners, over the coming years.
UNICEF urges continued priority for vulnerable children as UNICEF Executive Director Anthony Lake ends visit to China BEIJING, 16 May 2014 - At the conclusion of a five day visit to China, UNICEF Executive Director Anthony Lake commended the Government of China for its commitment to address socio-economic disparities facing the country.
It says this is a "continuing high priority issue given the increasing rollout of cable in the South Pacific region".
Nevertheless, the consistency of findings in our study and the earlier studies highlights the continuing low priority accorded to the crucial hours and days following birth.
