The Danish Royal Court has reported that Prince Henrik was admitted to Rigshospitalet in Copenhagen on Sunday evening on 13 August, after suffering pain in his right leg.
This recent admission was said to be complications following surgery last month.
At this stage, no additional surgery is required at this stage.
Prince Henrik and Queen Margrethe had recently returned home from a holiday at their home Chateau de Cayx in France.
Some of his official duties were cancelled when Prince Henrik had been admitted to the University Hospital in Aarhus hospital due to a leg infection during mid-July, with as some of his official duties had been cancelled.
However, Prince Henrik was unable to go to Gråston Palace as planned for the summer break.
Doctors performed surgery on his right groin with balloon angioplasty in his right pelvic artery due to blocked arteries.
Prince Henrik has been discharged from hospital a few days later.
He caused controversy earlier this month by saying he refuses to be buried next to his wife, Queen Margrethe, at Roskilde Cathedral because he is unhappy he was never acknowledged as king.
In Denmark, the husband of a queen is called a prince or “His Royal Highness”.
Henrik was granted the title Prince Consort in 2005, which he rejected in 2016.
Prince Henrik was to be buried in a specially-designed sarcophagus, designed by sculptor Bjorn Norgaad, but a spokesperson from the Danish Royal Court has said he would be interred elsewhere in Denmark.
He became the Prince Consort when he married Queen Margrethe in 1967. They have two sons, Crown Prince Frederik and Prince Joachim.
He was born Henri Marie Jean Andre de Laboured de Monpezat in France on 11 June 1934.
Prince Henrik retired from public duties last year, only carrying out a few official engagements and spends most of his time at his home in France.