Yes they do when they're tired. A lot of the time they sleep standing up, but when they're extra tired or want to get the weight off their feet they do lay down. Especially pregnant mares and MOST ESPECIALLY foals. My colt is 11 months and he loves his naps during the day and every night I go out and he's laying down. I can even sit on him when he's down. The other day he was laying by a pee hole (I had just given him a bath) so I went out to get him up hoping he would lay somewhere else. Well he wouldn't. I tried everything, I grabbed his flymask and pulled his head up, then I sat on him, then I scooted around while I was sitting on him, then I layed down on him and he gave me a dirty look, but still wouldn't get up. So I had to go get some hay then he got up.
when a horse lays down it means they are relaxed and very trusting of there surrounding. it is a way for the to get the weight of their legs and just let the day or night foat away. but you will see them repostion themselves every now and again that is b/c they can't stay one way to long or else the weight of thier body will sufficate them. To this day a speed event horse i am training, (i got her as a baby and hand raised her, bottle feeding the whole nine yards, if you want the story let me know i will tell you)her name is DITZ will come lay down by me for no reason except that she loves and trusts me, all the time after a good workout. She loves to be rubbed on her belly of all things this shows me that our bond is stong and she views me as part of the herd not as a preditor.
Ditz's mother name was Kristi. When i got Kristi i was amaze just how much she was scare of people. We had adopted kristi from our local ASPA and she was in bad shape but even in that condition you could see she had great conformation and a wonderful personality and heart. So i talked my do into taking her home as a foster horse, (he did not know he would fail in love with her and end up keeping her)after almost a year she was looking wonderful and i was so proud of the recovery she made. We made her into a trail horse but she loved to run so my dad taught me how to train barrel horses on her, we learned together, Kristi and I. well after 5 years of barrel competions and many wins at that! she got hurt when she tripped and fell at the 2nd barrel, when she went down i knew she was hurt i just knew and i cried. And she was hurt when she got up their was a big scape on hurt front right leg( where a runnig boot should have been) and i could she where she had tore the ligement. i did not even move her. my dad got the trailer and brought it to her we unsaddled her(immedently after she fell), wrapped her legs with shipping boots(she had tore her runnimg boot off her hurt leg), and put her blanket on loaded her up and went to our local vet who sent us to LSU Vet school. Thanks to them i got her back even though she would not be able to run ever again, but she could be bred. So after a year and a half of recovery she was up and around againand almost as well as before.She had three foals in her lifetime (all great runners), she died after she gave birth to Ditz about three days after.Her heart gave out one night when she was laying with her new foal. Ditz stay with her even after she died i think she was saying goodbye to her mother that she loved whole heartedly,even if she only had 3 living days with her. I will miss her forever. So i had to take Kristi's place as mom, and i did it was hard,but that is why we are so close to each other.as ditz continued to grow and she was weaned she would follow me everywhere even inside the house, for th first 9 monthes of her life she slept inside with me or in her bed.as she got bigger i began to teach her all i could on the ground ,it was like she understood every word i siad and i understood her too. As if she was just talking with me. Today this still continuesand our relationship strenghths daily. that is ditz's story or more like her moms's i guess!!! ( well now that i am crying my heart out y'all have a blessed day)