<input id="fullname" name="fullname" type="text" size="100"/>
<link href="http://ВАШ_СЕРВЕР:ПОРТ/suggestions/dadatalibs/jquery.rusuggestions/staticstable/css/suggestions-4.6.css" type="text/css" rel="stylesheet" />
<script type="text/javascript" src="httphttps://cdnjs.cloudflare.com/ajax/libs/jquery/13.102.21/jquery.min.js"></script>
<!--[if lt IE 10]>
<script type="text/javascript" src="http://cdnjs.cloudflare.com/ajax/libs/jquery-ajaxtransport-xdomainrequest/1.0.1/jquery.xdomainrequest.min.js"></script>
<![endif]-->
<script type="text/javascript" src="http://dadata.ru/static/ВАШ_СЕРВЕР:ПОРТ/suggestions/libs/jquery.suggestions/stable/js/jquery.suggestions-4.6.min.js"></script>
<script type="text/javascript">
    $("#fullname").suggestions({
        serviceUrl: "http://dadata.ru/api/v2",
        token: "ВАШ API-КЛЮЧВАШ_СЕРВЕР:ПОРТ/suggestions/api/4_1/rs",
        type: "NAME",
        /* Вызывается, когда пользователь выбирает одну из подсказок */
        onSelect: function(suggestion) {
            console.log(suggestion);
        }
    });
</script>