Museveni won the election with just over 71 percent of the vote, according to Uganda's Electoral Commission. Wine received almost 25 percent.
The election has been marked by reports of threats and violence against the opposition. On Saturday, Wine said police and the military raided his home, but he managed to escape.
"I know those criminals are looking for me everywhere and I'm doing my best to stay safe," he wrote on X.
In connection with the election, the Ugandan government has imposed a near-total internet blackout in the country, limiting information about what is happening.
Former singer Bobi Wine, whose real name is Robert Kyagulanyi, has emerged as a leading challenger to Museveni in recent years.
81-year-old Museveni, who is now beginning his seventh term, has promised that this will be his last.
