This followed a 22.1% fall in the previous quarter.
Cyprus was followed by Slovakia, where production in the construction sector fell 6.3%, France (- 5.9%) and Italy (-5.6%).
The best performing states were Lithuania, where production rose by 13.5%, Sweden (+13.2%), Greece (+11.7%) and the Netherlands (+10.1%).
Overall in the eurozone, production in construction fell 0.7% in the fourth quarter, while in the EU it increased 0.7% compared to the fourth quarter of 2013.