The woman, who didn't want to be identified, lives close to the beach and had stepped onto it to take her dog for a walk on their regular route when she noticed a man close to the water.
He turned around and began approaching her and the woman at first thought he "wanted to chat".
"I was screaming, calling out for help because he was chasing me with this big knife."
She said she managed to get a little way ahead of the man and turned away to the left near the sailing club in the area while the man kept on running to Beach Rd where he disappeared.
Passers-by saw the incident and some followed the man at a distance, the woman said.
The woman immediately called police. She said they arrived 10 minutes later and by that time the man had already been apprehended, although she didn't see it happen.
She said the man had "looked a bit dazed" when he approached her.
"My gut was telling me straight away something was up when I first turned to look at him," she said.
"I was a bit on edge, which I think is why I reacted so fast when he started to run."
She said she was now safe and at home but had been "very shaken" by the incident.
Police praise brave strangers who subdued stabbing suspect
Waitematā district commander Superintendent Naila Hassan told reporters that four members of the public were stabbed in the "random" and "isolated" attacks.
Hassan said it would've been an extremely traumatic event for the victims involved.
A Mairangi Bay resident says he witnessed a man, who looked to be in his 20s holding a 20cm knife, being walked down his street by five members of the public who had apprehended him.
The resident, who wanted to be identified only as Steve, said he was gardening outside his Montrose Terrace home when he saw the armed man being escorted down the road towards the waterfront.
The alleged offender appeared to be in some level of distress, Steve told the Herald.
The people encircling the man didn't appear to know each other and had weapons of their own, he said. As they progressed down the road, the group was telling members of the public to step aside and make way.
Two men struck the knife-wielding man - once in the leg and once in the head - which brought the man to the ground, Steve said.
It was at this point that police stepped in and detained the man, according to Steve.
"The man more or less lay down, I know he burst out in tears, you could hear him crying. I think the realisation came in."
Steve was full of praise for the group of men who had surrounded the alleged offender: "They were just so good, they should be commended."
A worker from Montrose Cafe, Bistro and Bar in neighbouring Mairangi Bay says a member of the public used a crutch to trip up the alleged offender, aiding police in his capture.
A staff member at Cafe BayBay in Beach Rd, Murrays Bay, says he understands a man stabbed several women, before fleeing to Mairangi Bay.
He said he heard officers caught the offender there.
Another witness said three people had been stabbed, and that three ambulances and three police cars were at the scene
"Emergency services are in attendance at an incident in Murrays Bay where a number of people are understood to have sustained injuries," a police spokeswoman said.
"At this early stage we are still working to confirm the exact number and nature of injuries."
Police have taken a person into custody, who is assisting them with their inquiries.
Traffic is being diverted and police have asked people to avoid the area.
Police will hold a media briefing at 2.45pm today.
North Shore MP Simon Watts said he was aware there had been a "stabbing".