The new parliamentary under-secretary for health will take over responsibility for all aspects of primary care as well as adult social care and community services.
Mr Mowat, a former PPS to the communities secretary, was appointed by Theresa May over the weekend as part of a new team of junior ministers.
Health secretary Jeremy Hunt, who was among a small number of senior ministers to retain their posts under Theresa May, welcomed the new team via Twitter.
Former health minister Alistair Burt, who previously held the primary care brief, announced earlier this month he was stepping down from his role after 24 years in front bench positions to spend more time on constituency work.
In a wide-ranging interview with GPonline last year, Mr Burt said the government was trying to stop the decline in GP pay, and that there would be no seven-day NHS services in areas where there was no demand. He also talked about his family roots in general practice.