Mr Johnson and two staff members were flown to Montana on 11 and 12 October - with internal US flights, accommodation and hospitality paid for by Mr Murdoch.
The pair held a private meeting, the BBC understands.
The latest list also shows Mr Johnson was paid £276,000 for a speech five weeks after leaving Downing Street.
On 14 October - a few days after visiting Mr Murdoch - Mr Johnson spoke to the Council of Insurance Agents and Brokers in Colorado Springs. He gave a 30-minute speech and a 45-minute "fireside chat" at the event.
The former PM worked for eight-and-a-half hours, meaning he was paid an hourly rate of more than £32,400. Mr Johnson and two members of staff also received free transport and accommodation.
The Register of Members' Financial Interests is published twice a month and shows MPs' outside income, gifts, visits and other benefits - anything they receive which could influence their actions, speeches or votes in Parliament.
Mr Johnson's visit to Mr Murdoch - who reportedly bought a ranch in Montana last December - came just over a week before Liz Truss resigned as UK prime minister. Her resignation sparked a leadership race which saw Mr Johnson win support to run, before dramatically withdrawing from the contest.
It is not the first time Mr Johnson and Mr Murdoch have met. The pair held several meetings while Mr Johnson was prime minister - according to Cabinet Office records - and also met when Mr Johnson was mayor of London.
* Liz Truss received a donation of more than £33,000 in September to cover winding up costs for her leadership campaign
* Former UK Health Secretary Matt Hancock - who is currently appearing in I'm A Celebrity - received £10,000 for a speech at a fintech conference last month