Title How do galaxies accrete their mass? Quiescent and star-forming massive galaxies at high redshift. ABSTRACT I will first provide a broad overview of what we know (and what we don't) about the evolution of galaxies in the first 3-4 Gyrs of the history of Universe. In particular, I will show that recent surveys have shown that massive galaxies have undergone a major evolution during the epoch corresponding to redshift range 2-4, assembling a significant fraction of their stellar mass in this epoch, but indicating also that significant star-formation rate occurred in galaxies also much earlier, i.e. at z>>6. I will then focus on our recent results, combining two pieces of evidence: - The results of the analysis of the 24mu MIPS data of the GOODS-S field, combined with UV-IR deep images, that allow to trace star formation (or the lack of) in high redshift galaxies without biases due to dust extinction. I will show in particular the resulting fraction of quiescent and "red&dead" galaxies as a function of redshft, and the evolution of the specific star formation rate as a function of redshift and stellar mass. - The results of an ESO LP dedicated to the search of galaxies at z >6.5. I will briefly discuss the strategy and the results obtained so far, and the comparison with recent WFC3 data. The scenario emerging from these data will be compared with recent predictions of theoretical models, to discuss the validity of their physical ingredients.