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You can use the Web3.eth.accounts.create() function. It will return an account object which you'll be able to control. https://web3js.readthedocs.io/en/1.0/web3-eth-accounts.html

Example:

var Web3 = require("web3");
var web3 = new Web3('http://localhost:8545'); // your geth
var account = web3.eth.accounts.create();
You can also use the web3.eth.personal.newAccount() function.
http://web3js.readthedocs.io/en/1.0/web3-eth-personal.html#newaccount
Check this blog post to help determine which is right for you.
https://medium.com/@andthentherewere0/should-i-use-web3-eth-accounts-or-web3-eth-personal-for-account-creation-15eded74d0eb
Note: This answer is for Web3.js 1.0.
                I believe you the output of web3.eth.accounts.create() should contain a private key. web3js.readthedocs.io/en/v1.2.0/web3-eth-accounts.html#create
– nibty
                Aug 22, 2019 at 21:07
                the accounts created through web3.eth.accounts.create() can't be used to make the transaction as we can't use them as a sender. It gives Error: sender account not recognized
– Zeeshan Ahmad Khalil
                Nov 2, 2019 at 5:29
                try web3.eth.accounts.wallet.add(account.privateKey) to solve Error: sender account not recognized
– Mark Parris
                Feb 5 at 3:50
This is how you can create a new address with web3.js:
const Web3 = require('web3');
const web3 = new Web3('https://bsc-dataseed.binance.org/');
const privateKey = 'private key';
const account = web3.eth.accounts.privateKeyToAccount(privateKey);
console.log(`Account: ${account.address}`);
for (let i = 0; i < 3; i++) {
  const newAccount = web3.eth.accounts.create();
  console.log(`Address ${i + 1}: ${newAccount.address}`);
                As it’s currently written, your answer is unclear. Please edit to add additional details that will help others understand how this addresses the question asked. You can find more information on how to write good answers in the help center.
– alea
                Apr 29 at 17:48
        
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