How to use async/await in Vue.js?

Unlike what @thanthu said, you can use both then and await. In your first post you only missed to add return in the getA method:

async created (){
    await this.getA()
    console.log(2)
    await this.getB() 
},
methods : {
    getA() {
        return $axios
            .post(`/getA`,params){
            .then((result) => {
                console.log(1)
            });
    },
    getB() { 
        console.log(3)
    }
}

You have to use either then or await not both as shown below:

If using then

created () {
    this.getA().then((result) => {
            console.log(1)
            console.log(2)
            this.getB()
        })
},
methods : {
    getA () {
        return $axios.post(`/getA`,params);
    },
    getB (){
        console.log(3)
    }
}

If using await

async created (){
    await this.getA()
    console.log(1)
    console.log(2)
    this.getB() 
},
methods : {
    getA : async() => {
        return $axios.post(`/getA`,params);
    },
    getB : () => {
        console.log(3)
    }
}

Note that while calling getB() you don't need then or await since it is not asynchronous