The Jerusalem Embassy and Recognition Act would withhold certain funds from the State Department until the move is completed.
During the heated primary battle, Trump had insulted Cruz's wife, Heidi, for her physical appearance and suggested that the senator's father was linked to late President John F. Kennedy's assassin.
Cruz's prime-time, televised snub of Donald Trump at the Republican National Convention was the moment when America's most extreme Republican became a heroic voice of conscience.
'I am not in the habit of supporting people who attack my wife and attack my father,' says Cruz of Trump.
Texas senator's failure to back the Republican presidential candidate instantly overshadowed everything else that took place at the convention on Wednesday.
Once a supporter of the Texas senator, Sheldon Adelson has thrown his weight behind Donald Trump.
Anti-Trump Republican delegate Ken Cuccinelli told Reuters he escorted Cruz's wife, Heidi, off the floor of the Republican National Convention out of concern for her safety.
So far it's just limited chatter, at least publicly. But with party leaders already flashing mixed messages about the billionaire's candidacy, any more rhetorical bombs that Trump tosses could cause opposition to him to snowball.
Clinton campaign hopes 'same old, same old' will emerge as one of its strengths. Here’s a look at five top Middle East advisers and the chops they could carry into a Clinton administration.
'I'm going to tell you what I really think of Donald Trump.'