Three lifeboats, the coastguard and a helicopter were called to help search for a vessel which had got lost at sea.
A 17ft motorboat carrying two adults and two children, all of Chinese descent, broke down off the coast at Knott End, near Fleetwood, on Saturday lunchtime.
Unable to use the GPS on board the boat, the adults called Blackpool RNLI for help.
Blackpool and Fleetwood lifeboats were launched after the call at 1.47pm.
They called Barrow Lifeboat for help and a helicopter was scrambled from East Yorskhire.
Blackpool lifeboat found the vessel at 4.20pm, when the two children were suffering with sea sickness.
Watch manager Stuart Atkinson from Liverpool Coastguard said: “This boat had totally inappropriate equipment which the people on board were not able to use.
“All boats taken out to sea should have a VHF radio, lifesaving equipment and a packet of flares, and the people on board should know how to use them.”
The children were treated by paramedics at Blackpool lifeboat station.
It was a busy afternoon for the resort’s lifeboats, which were called to a number of emergencies on Saturday.
Lytham Lifeboat was called to a yacht which had caught fire off St Annes at 3.10pm.
The crew on board the yacht had put the fire out, and the lifeboat crew brought it in to the River Ribble.
And Blackpool’s second lifeboat was alerted to a 999 call after two teenagers were blown off the coast at Anchorsholme in a dingy at 4.30pm.
They were pulled ashore by RLNI volunteers.