We propose a scenario of the electroweak symmetry breaking by one-loop radiative corrections in a class of string models with D3-branes at non-supersymmetric orbifold singularities with the string scale in TeV region. As a test example, we consider a simple model based on a D3-brane at locally C^3/Z_6 orbifold singularity, and the electroweak Higgs doublet fields are identified with the massless bosonic modes of the open string on that D3-brane. They have Yukawa couplings with three generations of left-handed quarks and right-handed up-type quarks which are identified with the massless fermionic modes of the open string on the D3-brane. We calculate the one-loop correction to the Higgs mass due to the non-supersymmetric string spectrum and interactions, and qualitatively suggest that the negative mass squared can be generated. The problems which must be solved to proceed quantitative calculations are pointed out.