The Association said the announcement that BT is to provide a new fibre optic network to 98 percent of homes and businesses across Wales had been a long time coming.
CLA Vice-President Ross Murray who lives near Abergavenny in Monmouthshire, said: "It is such a vital service for the rural economy but the lack of broadband in rural Wales puts businesses at a competitive disadvantage.
"Since the Welsh Government first announced its plan to roll out superfast broadband last year, we have waited and waited for further information so a 2015 confirmation is very welcome."
He added: "The priority now is for the Government and BT to address the areas in Wales that currently receive no broadband or very slow speeds. The Government must ensure that BT does not simply increase the speeds of the 10 to 15 percent who already have superfast broadband, but concentrates on those households and businesses that have suffered from poor broadband for the past 10 years."
The CLA said the BT contract must include penalties for any failure to meet time and coverage requirements and payments to BT must be performance related to ensure a fast and effective broadband service is rolled out to rural areas.