HNO3(aq) + HI(aq) → NO(g) + I2(s)

acidic environment

[HNO3(aq) + 3 H+(aq) + 3 e → NO(g) + 2 H2O(l)] × 2

[2 HI(aq) → I2(s) + 2 H+(aq) + 2e] ×3

sum and eliminate common species

2 HNO3(aq) + 6 HI(aq) → 2 NO(g) + 3 I2(s) + 4 H2O(l)