The invention relates to a high-intensity controlled-expansion alloy containing Cr. The alloy comprises the following components in percentage by weight: not greater than 0.08% of C, not greater than 0.40% of Si, not greater than 1.0% of Mn, not greater than 0.010% of S, not greater than 0.010% of P, 35.0-38.0% of Ni, 0.8-2.5% of Cr, not greater than 1.0% of Nb, 0.5-1.5% of Co, and the balance Fe. The alloy is high in mechanical intensity under room temperature and high in dynamic elasticity modulus, and can be applied to precision instruments and equipment with special requirements or other precision instruments and equipment with such requirements.