This is my solution to the problem:
(function($) {
$(document).ready(function() {
jQuery(".ninja-forms-form").on('submitResponse.resetCaptcha', function(e, formData, jqForm, options){
if (grecaptcha && grecaptcha.getResponse()) {
grecaptcha.reset();
}
});
});
})(jQuery);
It resets the captcha state (if it was activated) after submitResponse event. This is a solution for ajax powered form.