Modifying a query string without reloading the page

Question

If you are looking for Hash modification, your solution works ok. However, if you want to change the query, you can use the pushState, as you said. Here it is an example that might help you to implement it properly. I tested and it worked fine:

if (history.pushState) {
    var newurl = window.location.protocol + "//" + window.location.host + window.location.pathname + '?myNewUrlQuery=1';
    window.history.pushState({path:newurl},'',newurl);
}

It does not reload the page, but it only allows you to change the URL query. You would not be able to change the protocol or the host values. And of course that it requires modern browsers that can process HTML5 History API.

For more information:

http://diveintohtml5.info/history.html

https://developer.mozilla.org/en-US/docs/Web/Guide/API/DOM/Manipulating_the_browser_history

I want to improve Fabio's answer and create a function which adds custom key to the URL string without reloading the page.

function insertUrlParam(key, value) {
    if (history.pushState) {
        let searchParams = new URLSearchParams(window.location.search);
        searchParams.set(key, value);
        let newurl = window.location.protocol + "//" + window.location.host + window.location.pathname + '?' + searchParams.toString();
        window.history.pushState({path: newurl}, '', newurl);
    }
}

Building off of Fabio's answer, I created two functions that will probably be useful for anyone stumbling upon this question. With these two functions, you can call insertParam() with a key and value as an argument. It will either add the URL parameter or, if a query param already exists with the same key, it will change that parameter to the new value:

//function to remove query params from a URL
function removeURLParameter(url, parameter) {
    //better to use l.search if you have a location/link object
    var urlparts= url.split('?');   
    if (urlparts.length>=2) {

        var prefix= encodeURIComponent(parameter)+'=';
        var pars= urlparts[1].split(/[&;]/g);

        //reverse iteration as may be destructive
        for (var i= pars.length; i-- > 0;) {    
            //idiom for string.startsWith
            if (pars[i].lastIndexOf(prefix, 0) !== -1) {  
                pars.splice(i, 1);
            }
        }

        url= urlparts[0] + (pars.length > 0 ? '?' + pars.join('&') : "");
        return url;
    } else {
        return url;
    }
}

//function to add/update query params
function insertParam(key, value) {
    if (history.pushState) {
        // var newurl = window.location.protocol + "//" + window.location.host + search.pathname + '?myNewUrlQuery=1';
        var currentUrlWithOutHash = window.location.origin + window.location.pathname + window.location.search;
        var hash = window.location.hash
        //remove any param for the same key
        var currentUrlWithOutHash = removeURLParameter(currentUrlWithOutHash, key);

        //figure out if we need to add the param with a ? or a &
        var queryStart;
        if(currentUrlWithOutHash.indexOf('?') !== -1){
            queryStart = '&';
        } else {
            queryStart = '?';
        }

        var newurl = currentUrlWithOutHash + queryStart + key + '=' + value + hash
        window.history.pushState({path:newurl},'',newurl);
    }
}

I've used the following JavaScript library with great success:

https://github.com/balupton/jquery-history

It supports the HTML5 history API as well as a fallback method (using #) for older browsers.

This library is essentially a polyfill around `history.pushState'.

Since everyone answering this seems to forget the hash, I want to add the code I'm using to keep all URL parameters:

const urlParams = new URLSearchParams(window.location.search);

/// Change some part of the URL params

if (history.pushState) {
  const newurl =
    window.location.protocol +
    "//" +
    window.location.host +
    window.location.pathname +
    "?" +
    urlParams.toString() +
    window.location.hash;
  window.history.replaceState({ path: newurl }, "", newurl);
} else {
  window.location.search = urlParams.toString();
}