The NEMO 3 experiment is devoted to the search for 0νββ decay and measurement of 2νββ decay. Half-lives of the 2νββ decay have been measured with high accuracy for 7 kg of ¹⁰⁰Mo, T_1/2 = [7.11 ± 0.02 (stat.) ± 0.54 (syst.)] × 10¹⁸ y, and for 1 kg of ⁸²Se, T_1/2 = [9.6 ± 0.3 (stat.) ± 1.0 (syst.)] × 10¹⁹ y. After analysis of data corresponding to 693 days, no evidence for 0νββ decay was found. The obtained half-life lower limits at 90% C.L. for 0νββ decay are 5.8 × 10²³ y for ¹⁰⁰Mo and 2.1 × 10²² y for ⁸²Se. The double beta decay of ¹⁰⁰Mo to the excited 0⁺₁ and 2⁺₁ states of ¹⁰⁰Ru is also being studied with NEMO 3.