一件容易的事。

var scrollIt = function(time) {
    // time = scroll time in ms
    var start = new Date().getTime(),
        scroll = document.documentElement.scrollTop + document.body.scrollTop,
        timer = setInterval(function() {
            var now = Math.min(time,(new Date().getTime())-start)/time;
            document.documentElement.scrollTop
                = document.body.scrollTop = (1-time)/start*scroll;
            if( now == 1) clearTimeout(timer);
        },25);
}

我修改了@TimWolla的代码，添加了更多的选项和一些移动功能。 另外，增加了对document.body.scrollTop和document.documentElement.scrollTop的跨浏览器支持

// scroll to top
scrollTo(0, 1000);

// Element to move, time in ms to animate
function scrollTo(element, duration) {
    var e = document.documentElement;
    if(e.scrollTop===0){
        var t = e.scrollTop;
        ++e.scrollTop;
        e = t+1===e.scrollTop--?e:document.body;
    }
    scrollToC(e, e.scrollTop, element, duration);
}

// Element to move, element or px from, element or px to, time in ms to animate
function scrollToC(element, from, to, duration) {
    if (duration <= 0) return;
    if(typeof from === "object")from=from.offsetTop;
    if(typeof to === "object")to=to.offsetTop;

    scrollToX(element, from, to, 0, 1/duration, 20, easeOutCuaic);
}

function scrollToX(element, xFrom, xTo, t01, speed, step, motion) {
    if (t01 < 0 || t01 > 1 || speed<= 0) {
        element.scrollTop = xTo;
        return;
    }
    element.scrollTop = xFrom - (xFrom - xTo) * motion(t01);
    t01 += speed * step;

    setTimeout(function() {
        scrollToX(element, xFrom, xTo, t01, speed, step, motion);
    }, step);
}
function easeOutCuaic(t){
    t--;
    return t*t*t+1;
}

http://jsfiddle.net/forestrf/tPQSv/

简化版: http://jsfiddle.net/forestrf/tPQSv/139/

// c = element to scroll to or top position in pixels
// e = duration of the scroll in ms, time scrolling
// d = (optative) ease function. Default easeOutCuaic
function scrollTo(c,e,d){d||(d=easeOutCuaic);var a=document.documentElement;if(0===a.scrollTop){var b=a.scrollTop;++a.scrollTop;a=b+1===a.scrollTop--?a:document.body}b=a.scrollTop;0>=e||("object"===typeof b&&(b=b.offsetTop),"object"===typeof c&&(c=c.offsetTop),function(a,b,c,f,d,e,h){function g(){0>f||1<f||0>=d?a.scrollTop=c:(a.scrollTop=b-(b-c)*h(f),f+=d*e,setTimeout(g,e))}g()}(a,b,c,0,1/e,20,d))};
function easeOutCuaic(t){
    t--;
    return t*t*t+1;
}

我已经选择了@timwolla answer的@akai版本，并添加了stopAnimation函数作为返回，所以在开始新的动画之前，旧的动画可以停止。

if ( this.stopAnimation )
    this.stopAnimation()

    this.stopAnimation = scrollTo( el, scrollDestination, 300 )


// definitions

function scrollTo(element, to, duration) {
    var start = element.scrollTop,
        change = to - start,
        increment = 20,
        timeOut;

    var animateScroll = function(elapsedTime) {        
        elapsedTime += increment;
        var position = easeInOut(elapsedTime, start, change, duration);                        
        element.scrollTop = position; 
        if (elapsedTime < duration) {
            timeOut = setTimeout(function() {
                animateScroll(elapsedTime);
            }, increment);
        }
    };

    animateScroll(0);

    return stopAnimation

    function stopAnimation() {
        clearTimeout( timeOut )
    }
}

function easeInOut(currentTime, start, change, duration) {
    currentTime /= duration / 2;
    if (currentTime < 1) {
        return change / 2 * currentTime * currentTime + start;
    }
    currentTime -= 1;
    return -change / 2 * (currentTime * (currentTime - 2) - 1) + start;
}

JS解决方案w/o jQuery。

element.onclick = () => window.scrollTo({ top: 0, behavior: 'smooth' })

没有JQuery代码，希望这将帮助你。

function TopscrollTo() {
if(window.scrollY!=0)
{
    setTimeout(function() {
       window.scrollTo(0,window.scrollY-30);
        TopscrollTo();
    }, 100);
   }
}

在按钮单击事件或任何其他你想要的元素/事件上调用这个TopscrollTo()函数。

实际上有一个纯javascript的方式来完成这个不使用setTimeout或requestAnimationFrame或jQuery。

简而言之，在scrollView中找到要滚动到的元素，并使用scrollIntoView

el.scrollIntoView({行为:“平滑”});

这是一个普朗克。