The day started with about three-quarters of the local market showing up on broker screens as "red" but most stocks went into "green" territory as the day progressed.
"The Japanese market was stronger from the get go, and that seemed to drag up the Australian market, and we've done the same as well," said Mark Lister, Craigs Investment Partners' head of private wealth research.
"I would not interpret the green on the screen as a sign that the volatility is over by any stretch, but it was not unexpected to see a bit of a rebound," he said.
"I don't think that this will be the start of another Global Financial Crisis but I think that there is more volatility to come."
The price of gold, seen as a safe haven asset in volatile markets, remained elevated, having gained about 5.6 per cent since just before voting closed last week, trading yesterday at US$1327 an ounce.
In the currency markets, the New Zealand dollar was trading at US70.63c yesterday, after falling around US3c on Friday to just under US70c.
"We see scope for this reaction to extend further during the weeks ahead if the UK's exit is perceived as increasing the chances of other countries also leaving the EU," Westpac said in a commentary. "We expect it to trade below US70.50c this week, paving the way for a move to the high 60s during the weeks ahead."