After iOS 10 you can use
Speech.framework
It is very simple to use.Just import Speech into your class
import Speech
let speechRecogizer = SFSpeechRecognizer(locale: Locale.init(identifier: "en-US"))! //locale whatever you want to use
let recognitionRequest = SFSpeechAudioBufferRecognitionRequest()
let recognitionTask:SFSpeechRecognitionTask = speechRecogizer.recognitionTask(with: recognitionRequest, resultHandler: { (result, error) in
print(result?.bestTranscription.formattedString) //here you can get your text
})
You can also check https://github.com/PKrupa94/SpeechManager for it.