Observing ROSAT sources in an area 20 \arcdeg \times 25 \arcdeg centered at the high latitude ( b = -59 \arcdeg ) active star ( catalog ER Eri ) , we found evidences for a nearby association , that we call the Horologium Association ( HorA ) , formed by at least 10 very young stars , some of them being bona fide Post-T Tauri stars .
We suggest other six stars as possible members of this proposed association .
We examine several requirements that characterize a young stellar association .
Although no one of them , isolated , gives an undisputed prove of the existence of the HorA , all together practically create a strong evidence for it .
In fact , the Li line intensities are between those of the older classical T Tauri stars and the ones of the Local Association stars .

The space velocity components , of the HorA relative to the Sun ( U= -9.5 \pm 1.0 , V = -20.9 \pm 1.1 , W = -2.1 \pm 1.9 ) are not far from those of the Local Association , so that it could be one of its last episodes of star formation .
In this region of the sky there are some hotter and non-X-ray active stars , with similar space velocities , that could be the massive members of the HorA , among them , the nearby Be star ( catalog Achernar ) .
The maximum of the mass distribution function of its probable members is around 0.7 – 0.9 M _ { \sun } .
We estimate its distance as \sim 60 pc and its size as \sim 50 pc .
If spherical , this size would be larger than the surveyed area and many other members could have been missed .

We also observed 3 control regions , two at northern and southern galactic latitudes and a third one in the known ( catalog TW Hya ) Association ( TWA ) , and the properties and distribution of their young stars strengthen the reality of the HorA .
Contrary to the TWA , the only known binaries in the HorA are 2 very wide systems .
The HorA is much more isolated from clouds and older ( \sim 30 Myr ) than the TWA and could give some clues about the lifetime of the disks around T Tauri stars .
Actually , none of the proposed members is an IRAS source indicating an advanced stage of the evolution of their primitive accreting disks .

( catalog ER Eri ) itself was found to be a RS CVn-like system .