Or, embed this snippet using GenerateWP WordPress Plugin.

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Smooth scroll

$(function() {
  $('a[href*="#"]:not([href="#"])').click(function() {
    if (location.pathname.replace(/^//,'') == this.pathname.replace(/^//,'') && location.hostname == this.hostname) {
      var target = $(this.hash);
      target = target.length ? target : $('[name=' + this.hash.slice(1) +']');
      if (target.length) {
        $('html, body').animate({
          scrollTop: target.offset().top
        }, 1000);
        return false;
      }
    }
  });
});