The keyboardist, 38, was arrested in East Sussex, England in April (14) when a roadside breath test revealed he was almost three times over the drink-drive limit.
Rice-Oxley appeared at Hastings Magistrates Court earlier this month (Jul14) and pleaded guilty to the charge.
He was banned from the roads for 24 months and fined $1,275 (£750). He was also ordered to pay court costs of $145 (£85) and a victim surcharge of $128 (£75).
The driving ban can be reduced by 24 weeks if he successfully completes a road safety course.