For obtaining both high brightness under condition of small-sized and simplified structure and suppression of increase in temperature of liquid crystal display elements and polarizing elements, in a liquid crystal display apparatus, comprising: a liquid crystal display element 2 for converting light from a light source into display picture depending on a driving signal; an optical projection system 1b containing a first optical element 1a and for projecting said light signal toward an object of projection; exit side polarizing elements 3b; a holding member 6 for holding them with the liquid crystal display element 2; and cooling medium 5; incident side polarizing elements 3a, wherein, a space is defined by either one of the incident side polarizing elements 3a and the liquid crystal display element 2, the first optical element 1a, between the liquid crystal display element 2 and the first optical element 1a, and the holding member 6, and said space is filled up with the cooling medium 5.