Kingston had seven birdies and a bogey on the day and is one stroke ahead of Mikko Ilonen.
Lightning in the area led to a 90-minute suspension of play and, as a result, five groups were still on the course when play was stopped Thursday because of darkness. Among those players was Martin Wiegele, who was 4-under through 13 holes.
Scott Henry and Gonzalo Fernandez-Castano were able to finish their rounds at 4-under. Six other players are three strokes off Kingston's pace.
Kingston, in the field because of a sponsor's invitation, had a birdie at the par-3 second hole but dropped back to even with a bogey at the next hole.
He posted back-to-back birdies at Nos. 6 and 7 and jumped into the lead with four birdies over the span of Nos. 12-17.
Swim Week Miami Beach 2014 [PHOTOS]