A fake website made to look like a legitimate one is called Website Spoofing. URL masking is one of the popular techniques used.
A spoofed website looks exactly similar to the original one and differentiating between the two without close inspection is nearly impossible. The attacker copies the content and style of a website. Spoofed websites are mostly used for stealing credentials, sensitive information, or delivering malware to the host device.
URL cloaking is one of the phishing techniques that use spoofed websites, this is done by using specialized scripts, or URLs of trusted organizations, to disguise malicious URL, which appears to be legitimate and trustworthy without any suspicion.
Attackers also use characters from other languages or Unicode character that looks almost similar to regular ASCII character, this is called a Homograph Attack.