About 100,000 Dublin households have still to receive their supply of iodine tablets, provided under the Government's national emergency plan for nuclear accidents.
Distribution has been completed elsewhere in the State.
Some €2.3 million is being spent on the distribution of 12.6 million tablets to every household.
An Post began its delivery of the 2.1 million packets on June 17th and expects to have delivered the remaining 5 per cent by the middle of this week.
Households in the west received their packets first, with those in Dublin still receiving their allocation.
The delivery of tablets was announced by the Minister for Health, Mr Martin, last September, following a controversial radio interview with Mr Joe Jacob, then minister of State with responsibility for nuclear issues.
The tablets top up the level of iodine in the thyroid gland so that the body does not absorb radioactive iodine in a nuclear fall-out.
The packet of six tablets provides a single dose for a family of two adults and two children, according to the Department of Health.
People who have not received their supplies by the end of next week, and families with more than two children, have been advised to seek supplies from their local health centre.
