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In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi mathvariant="double-struck">R</mi> <mn>3</mn> </msup> <mo>×</mo> <mrow> <mo>(</mo> <mn>0</mn> <mo>,</mo> <mi>T</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula>. The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz spaces.