QPR chairman Tony Fernandes said: "Harry was our number one target, the unanimous choice of the board and we're delighted we've been able to attract him to the club."
Fernandes continued: "He has a proven track record in the Premier League and has all the characteristics we were looking for to get us out of the current situation we find ourselves in.
"His man-management skills are second to none and we are confident he is the right man to lead us away from the bottom of the table."
A announcement regarding Redknapp's backroom team will be made in due course.
More top news
A new report into the ever- worsening traffic congestion in Oxfordshire has concluded that the county is in danger of coming to a halt.
A woman from Hampshire owes her life to her husband after he donated a kidney - on their wedding anniversary.
Simon's Blog - Bugs