The Association said news that Virgin Media is ahead of schedule in its rollout of superfast broadband to 13 million UK homes only relates to urban areas that are already well connected.
Dr Charles Trotman, CLA Head of Rural Development, said: "Rural areas are still losing out in the broadband provider war. Virgin Media's latest rollout ignores homes and businesses in the countryside to give areas that already have good broadband even faster connections."
Dr Trotman said Virgin Media's plan to double download speeds to 120 Megabits per second (Mbps) is unfair to rural homes and businesses currently struggling to get the average two Mbps. In at least one fifth of rural areas there is no broadband at all, he added.
He said: "Rural areas with inadequate broadband should be brought up to speed first before doubling the speeds for areas that do not need improving. We are seeking urgent talks with Virgin Media to establish how best they can help rural communities."
The CLA has called on the Government to ensure that every rural business and household can have access to a broadband connection of at least five Mbps.