The mass-generation mechanism is the most urgent problem of the modern particle physics. The discovery and study of the Higgs boson with the Large Hadron Collider at CERN are the highest priority steps to solve the problem. In this paper, the Standard Model Higgs mechanism of the elementary particle mass-generation is reviewed with pedagogical details. The discussion of the Higgs quartic self-coupling l parameter and the bounds to the Higgs boson mass are presented. In particular, the unitarity, triviality, and stability constraints on the Higgs boson mass are discussed. The generation of the finite value for the l parameter due to quantum corrections via effective potential is illustrated. Some simple predictions for the top-quark and the Higgs boson masses are given when both the top Yukawa coupling and the Higgs self-coupling l are equal to 1.

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