This means an average new homeowner (based on the average band - D) would save over £660 on their first bill.
Welsh Conservatives have also pledged to scrap stamp duty for first-time buyers, and ensure Help to Buy Cymru is extended until 2020, as it is in England.
It has also announced plans to explore the development of a Starter Homes Cymru initiative, further the development of Rent to Buy, shared ownership and mortgage guarantee schemes, and extend Right to Buy.
Welsh Conservative Leader, Andrew RT Davies AM, said:
“When you pick up the keys to your new home, you won’t be picking up a new council tax bill. This six month holiday is just one part of our innovative offer for first-time buyers.
“Scrapping stamp duty up to 250 thousand for first-time buyers, exploring an extension to Help to Buy and developing a new Starter Homes initiative; this is Welsh Conservatives striving to create an environment where home ownership can be achieved by all who aspire to it."