The determination of the Cosmic Star Formation Rate Density
History is crucial to understand how stellar mass has been assembled in 
galaxies.  I will present the Cosmic SFRD History derived from the 
global FUV Luminosity Function with the VVDS Deep  and Ultra-Deep 
spectroscopic surveys, in the redshift range
0<z<4, i.e. in the past ~12 Gyr. I will also describe the global 
evolution of the dust attenuation within this redshift range. This is 
the first time that this is done in a coherent manner within a 
homogeneous galaxy sample across such a broad redshift range.