[Vuejs]-Laravel router-link works only the first time

Like GoogleMac said Vue will reuse the same component whenever possible. Since the route for both IDs use the same component Vue will not recreate it, so the created() method is only being called on the first page. You’ll need to use the routers beforeRouteUpdate to capture the route change and update the data.

in TopNews.vue:

export default {
        data:function(){
               return {topnews: {title: '', thumb: '', info: ''}}
        },
        beforeRouteEnter:function(to, from, next)  {
            let uri = '/news/'+ to.params.id;

            Axios.get(uri).then((response) => {
                next(vm => {
                    vm.setData(response.data)
                })
            });
        },
        beforeRouteUpdate: function(to, from, next) {
            let uri = '/news/'+ to.params.id;
            Axios.get(uri).then((response) => {
                this.setData(response.data);
                next();
            });

        },
        methods: {
            setData(data) {
                this.topnews = data
            }
        }
    }