There have been multiple reports of people at the waterline taking pictures of the waves, and even of families standing by the surf line with their children.
The Met Office has issued a red ‘danger to life’ weather warning and winds of 122mph have been recorded.
HM Coastguard Tactical Commander Ben Hambling said: “The reports we are receiving are absolutely terrifying. In these conditions all it takes is one wave.
“A dramatic photograph or selfie is not worth risking your life for and those who are going to the coast to take pictures are also putting our teams at risk.
“We are urging people in the strongest possible terms to stay away from the coast.”
If you do get into trouble or believe anybody to be in difficulty at the coast or at sea, please call 999 and ask for the Coastguard.
Meanwhile, Lancaster police also issued advice due to the amber weather warning.
PC Leah Roberts of Lancaster Police said: "As most of you will already know, an amber weather warning is in effect due to the high winds brought by Storm Eunice.
"This means that there is a good chance that flying debris could result in a danger to life and that damage to homes is likely.
"With Lancaster and Morecambe being so close to the coast, it is important to note that flooding may be likely, especially in areas such as Sandylands, Heysham, Sunderland Point, and any other coastal areas. It is also likley that some trees will be uprooted and branches may fall.
"With this in mind, please take basic precautions such as fastening down or bringing inside any outdoor furniture, or aiming to park your car away from any trees. Also please consider whether your journey tonight is necessary, especially on coastal or rural roads."