Welcome to Android Central! What do you mean by phone messages? Are you talking about a text message thread? If so, is this SMS, or some other chat app like Facebook Messenger, WhatsApp, etc.?
Which tablet do you have? Is it wi-fi only? Tablets in general don't get SMS messages, because that requires telephony. Even if the tablet is 3G or 4G enabled, that's usually just for mobile data, not for SMS/voice.