The photograph of his jump is certainly spectacular, showing Kruis with his arms outstretched against a stunning backdrop as he hurtles towards the ground.
But he was ribbed by team-mate Mako Vunipola, who commented: "Don't pretend you done it first time!"
Wales international Faletau posted three pictures of his jump on Instagram - one before and two during his leap.
England wing Nowell also posted a mid-jump snap on his Instagram account, describing it as "the worst but probably the best experience I have ever had!"
The Lions are spending the week in Queenstown - New Zealand's hub for adventure sports - as they count down to Saturday's third and deciding Test against the All Blacks.
The dynamic of their tour has been completely changed by last weekend's 24-21 victory in Wellington, which tied the series at 1-1 and gave them a shot at an historic victory.
Another group of players went jetboating on Lake Wakatipu on Monday as they enjoy their free time ahead of the match, while others went up into the snowy mountains by helicopter.