No, one don't need antivirus on Android. Only download well-known apps from Play (or your trusted store), and in the worst case, only install APK from official sources (e.g. official thread or GitHub releases).
Personally I never needed antivirus ever since I used Android.
Even if you think your device is infected by malware, antivirus might not be cleaning it up entirely and the safest bet is to factory reset the device. In this case antivirus isn't needed as well.