Here is a way to do it:
var str = "str.str"
if let dotRange = str.rangeOfString(".") {
str.removeRange(dotRange.startIndex..<str.endIndex)
}
Update
In Swift 3 it is:
var str = "str.str"
if let dotRange = str.range(of: ".") {
str.removeSubrange(dotRange.lowerBound..<str.endIndex)
}