We present CCD broad band photometric observations in the fields of the Third Galactic Quadrant open clusters NGC 2580 and NGC 2588 ( V ( I ) _ { C } and UBV ( RI ) _ { C } respectively ) . From the analysis of our data we found that NGC 2580 is located at a distance of about 4 kpc and its age is close to 160 Myr . As for NGC 2588 , it is placed at about 5 kpc from the Sun and is 450 Myr old . This means that NGC 2588 belongs to the extension of the Perseus arm , whereas NGC 2580 is closer to the local arm structure . The luminosity functions ( LFs ) have been constructed for both clusters down to V \sim 20 together with their initial mass functions ( IMFs ) for stars with masses above M \sim 1 - 1.5 M _ { \sun } . The IMF slopes for the most massive bins yielded values of x \approx 1.3 for NGC 2580 and x \approx 2 for NGC 2588 . In the case of this latter cluster we found evidence of a core-corona structure produced probably by dynamical effect . In the main sequences of both clusters we detected gaps , which we suggest could be real features .