To buy shares online, follow these steps. Select a U.K. broker, then open and fund the account. Research the stocks you want to buy using the trading tools and market research provided. Once you choose a stock to buy, fill out the order ticket with the number of shares you want to purchase. Place your trade. You now own shares of stock! For more educational resources before you start trading, we recommend reading investor.com's 10 great ways to learn stock trading.