Richmond Fed President Jeffrey Lacker said in an interview with Bloomberg Radio on Thursday that markets misunderstood the Fed in March and April.

"My sense of things is that markets took the wrong signal from us pausing in March and April," he said.

Lacker pointed out that an interest rate hike in June would be appropriate, adding that the referendum on Britain's membership in the European Union (EU) could wait until July before raising its interest rate.

Lacker is not a voting member of the Federal Open Market Committee (FOMC) this year.