We report the development of a table-top high peak power Titanium:sapphire (Ti:Sa) laser that generates 100 mJ, 45 fs pulses at a repetition rate of 100 Hz and 10 W of average power. Every stage is pumped by Nd-based solid state lasers and fully powered by diodes. Thermal effects in the Ti:Sa amplifiers are compensated passively with optics. This system is intended to be used for proton acceleration experiments at high repetition rates.