没有人提到CSS属性滚动行为

CSS

html {
  scroll-behavior: smooth;
}

JS

window.scrollTo(0,0)

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;
}

这是一种基于上述答案的跨浏览器方法

function scrollTo(to, duration) {
    if (duration < 0) return;
    var scrollTop = document.body.scrollTop + document.documentElement.scrollTop;
    var difference = to - scrollTop;
    var perTick = difference / duration * 10;

    setTimeout(function() {
      scrollTop = scrollTop + perTick;
      document.body.scrollTop = scrollTop;
      document.documentElement.scrollTop = scrollTop;
      if (scrollTop === to) return;
      scrollTo(to, duration - 10);
    }, 10);
  }

另一种基于上述解决方案的跨浏览器方法

function doScrollTo(to, duration) {
    var element = document.documentElement;

        var start = element.scrollTop,
        change = to - start,
        increment = 20,
        i = 0;

    var animateScroll = function(elapsedTime) {
        elapsedTime += increment;
        var position = easeInOut(elapsedTime, start, change, duration);
        if (i === 1 && window.scrollY === start) {
            element = document.body;
            start = element.scrollTop;
        }
        element.scrollTop = position;
        if (!i) i++;
        if (elapsedTime < duration) {
            setTimeout(function() {
                animateScroll(elapsedTime);
            }, increment);
        }
    };

    animateScroll(0);
}

诀窍在于控制实际的滚动变化，如果它为零，则更改滚动元素。

只做了这个javascript解决方案下面。

简单的用法:

EPPZScrollTo.scrollVerticalToElementById('wrapper', 0);

引擎对象(你可以摆弄过滤器，fps值):

/**
 *
 * Created by Borbás Geri on 12/17/13
 * Copyright (c) 2013 eppz! development, LLC.
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
 * The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 *
 */


var EPPZScrollTo =
{
    /**
     * Helpers.
     */
    documentVerticalScrollPosition: function()
    {
        if (self.pageYOffset) return self.pageYOffset; // Firefox, Chrome, Opera, Safari.
        if (document.documentElement && document.documentElement.scrollTop) return document.documentElement.scrollTop; // Internet Explorer 6 (standards mode).
        if (document.body.scrollTop) return document.body.scrollTop; // Internet Explorer 6, 7 and 8.
        return 0; // None of the above.
    },

    viewportHeight: function()
    { return (document.compatMode === "CSS1Compat") ? document.documentElement.clientHeight : document.body.clientHeight; },

    documentHeight: function()
    { return (document.height !== undefined) ? document.height : document.body.offsetHeight; },

    documentMaximumScrollPosition: function()
    { return this.documentHeight() - this.viewportHeight(); },

    elementVerticalClientPositionById: function(id)
    {
        var element = document.getElementById(id);
        var rectangle = element.getBoundingClientRect();
        return rectangle.top;
    },

    /**
     * Animation tick.
     */
    scrollVerticalTickToPosition: function(currentPosition, targetPosition)
    {
        var filter = 0.2;
        var fps = 60;
        var difference = parseFloat(targetPosition) - parseFloat(currentPosition);

        // Snap, then stop if arrived.
        var arrived = (Math.abs(difference) <= 0.5);
        if (arrived)
        {
            // Apply target.
            scrollTo(0.0, targetPosition);
            return;
        }

        // Filtered position.
        currentPosition = (parseFloat(currentPosition) * (1.0 - filter)) + (parseFloat(targetPosition) * filter);

        // Apply target.
        scrollTo(0.0, Math.round(currentPosition));

        // Schedule next tick.
        setTimeout("EPPZScrollTo.scrollVerticalTickToPosition("+currentPosition+", "+targetPosition+")", (1000 / fps));
    },

    /**
     * For public use.
     *
     * @param id The id of the element to scroll to.
     * @param padding Top padding to apply above element.
     */
    scrollVerticalToElementById: function(id, padding)
    {
        var element = document.getElementById(id);
        if (element == null)
        {
            console.warn('Cannot find element with id \''+id+'\'.');
            return;
        }

        var targetPosition = this.documentVerticalScrollPosition() + this.elementVerticalClientPositionById(id) - padding;
        var currentPosition = this.documentVerticalScrollPosition();

        // Clamp.
        var maximumScrollPosition = this.documentMaximumScrollPosition();
        if (targetPosition > maximumScrollPosition) targetPosition = maximumScrollPosition;

        // Start animation.
        this.scrollVerticalTickToPosition(currentPosition, targetPosition);
    }
};

基于这里的一些答案，但使用了一些简单的数学，使用正弦曲线进行平稳过渡:

scrollTo(element, from, to, duration, currentTime) {
       if (from <= 0) { from = 0;}
       if (to <= 0) { to = 0;}
       if (currentTime>=duration) return;
       let delta = to-from;
       let progress = currentTime / duration * Math.PI / 2;
       let position = delta * (Math.sin(progress));
       setTimeout(() => {
           element.scrollTop = from + position;
           this.scrollTo(element, from, to, duration, currentTime + 10);
       }, 10);
   }

用法:

// Smoothly scroll from current position to new position in 1/2 second.
scrollTo(element, element.scrollTop, element.scrollTop + 400, 500, 0);

注:注意ES6风格