(Recasts, adds details, Ukraine's earlier statement on strikes)

May 1 (Reuters) - Russia's defence ministry said on Sunday it had struck at weapons supplied to Ukraine by the United States and European countries and destroyed a runway at a military airfield near the Ukrainian city of Odesa.

The ministry said it used high-precision Onyx missiles to strike the airfield, after Ukraine accused Russia of knocking out a newly-constructed runway at the main airport of Odesa.

Odesa regional governor Maksym Marchenko said Russia had used a Bastion missile, launched from Crimea.

Reuters could not immediately verify the reports.

Russia's defence ministry also said its air defence systems had shot down two Ukrainian Su-24m bombers over the Kharkiv region overnight. (Reporting by Reuters; editing by Guy Faulconbridge)