Comparing Woodgate and King to the likes of Manchester United's Rio Ferdinand and Nemanja Vidic, Redknapp told Setanta Sports
: "Ledley has come back into the side and, with Jonathan, forms one of the best pairings in the country.
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"You can talk about Ferdinand and Vidic but these two are also up there. They are fantastic central defenders. They have got bags of pace, bags of ability and play a key part for us."
King's performance will add to pressure Redknapp has recently put on club chairman Daniel Levy, urging him to offer the 28-year-old an new long-term deal.
Despite his on going knee problems - which dictate he can only play once a week - Redknapp is eager to secure King's future with the club before his current contract expires at the end of next season.
"If you get 20 games a year out of Ledley, he is worth a fortune," Redknapp said last week. "He is that good. As long as he's capable of playing football, I would want Ledley here as long as I am here.
"He deserves that. He has given so much to this club after coming here as a schoolboy. You would like to think he would be part of this club for many years to come, as a player, and then who knows from there?
"I'm sure the chairman will look after him very well, to make sure we keep him and that he is part of everything we do."
Tottenham's defeat of Villa saw Martin O'Neill's hopes of regaining fourth place slip away after Arsenal enjoyed a 4-0 demolition of Blackburn, and Redknapp believes his north London rivals are favourites clinch the top-four place by the end of the season.
"I've said all along that I fancy Arsenal," he said. "They have got players coming back like Walcott and Fabregas. They have got the squad, a bigger squad than Martin (O'Neill).
"They are at another level in my opinion."