Social media footage shows people dancing late into Friday, before the attack in the early hours of Saturday.
People are then seen running through an open field with gunshots firing in the background in a separate clip.
Another video shows a young woman being forced on to a motorbike as she pleads with the two men taking her: “Please don’t kill me.”
More on Israel
Related Topics:
She is also seen in separate footage at an unknown location sitting down and drinking water.
Please use Chrome browser for a more accessible video player
0:41
Moment woman ‘kidnapped’ by Hamas fighters
Her father, Yakov Argamani, confirmed the woman in the footage is his daughter, 25-year-old student Noa Argamani.
Advertisement
Mr Argamani spoke to local media, saying through tears: “What can I say? All my life, since she was born, I tried to protect her, and hug her, and support her, and love her.
“And here at this difficult moment, even to cheer her up, I couldn’t offer her a hand.”
Please use Chrome browser for a more accessible video player
2:52
The faces of the people missing after the attack
After breaching the heavily guarded border early on Saturday, Hamas militants have taken at least 100 people hostage, according to Israeli officials.
The Israeli US embassy said women and children were among those captured and that several hostage situations are still “ongoing”.
Both soldiers and civilians have been taken, with some being taken back over the border into Gaza – and others paraded through the streets.
At a news conference held by relatives of people still missing, parents told of harrowing phone calls they received from their children.
Please use Chrome browser for a more accessible video player
1:00
‘Mummy, they shot at us’
According to Israeli officials, 1,590 people have been left injured since the incursion began on Saturday.
Meanwhile in Gaza, 413 Palestinians have been confirmed dead and 2,300 injured, according to the health ministry.
Israeli Prime Minister Benjamin Netanyahu told those still in Gaza to “leave now” as he threatened to turn it “into rubble” in response to the weekend’s attacks.