I have two big bumps connected together on the end of my eyelid what could this be? (Photo)

Those look like sudoiferous cysts on the lid.  They are benign growths that can be removed surgically.  See an oculoplastic surgeon to have them removed with local anesthesia. 

This might be a hydrocystoma of the eyelid, or another type of growth.  I recommend you see a dermatologist for diagnosis and treatment.  If surgery is needed, it should be done by a board certified plastic surgeon.  

Hi greetings from the UK! Yes I quite agree with my oculoplastic colleagues. These lesions look like benign cysts of the sweat glands (aka sudoriferous cysts or hydrocystoma). Very rarely clear cysts can arise due to an underlying skin cancer component (cystic BCCs) but that's pretty uncommon. Yes I would recommend seeing an oculoplastic surgeon so that they can examine it under a slit lamp microscope. If there are any sinister features then they may recommend a biopsy but on the whole if there aren't any sinister features and clinically the lesion looked like a benign hydrocystoma only, then these lesions can be left alone ( if they didn't bother you cosmetically) and only removed if they enlarge so much that they become a functional problem (e.g. if they become so big that they interfere with your vision)

Hi and thank you for reaching out. Those bumps are likely eccrine hidrocystomas, which are benign cysts of sweat glands. Make an appointment with an Oculoplastic surgeon, an eyelid specialist and have them examined to make sure and to have them removed. Best of luck. 

Thank you for sharing your case and photos.  I would recommend a consultation with a board certified oculoplastic surgeon to check out the bump and schedule for it to be removed.  By location and appearance, it looks like a benign growth of the sweat glands called a hidrocystoma.  After they are removed, it is unlikely to return.  Good luck!