The Queen officially opened the new National Tennis Centre in Roehampton, south west London, on Thursday.
The Queen had to contend with some bad weather in Roehampton
The Lawn Tennis Association, of which The Queen is patron, moved to its new headquarters in February.
British player Greg Rusedski and The Duchess of Gloucester were present as The Queen toured the 22 outdoor and indoor courts.
She also met several young players and members of Great Britain's Davis Cup and wheelchair junior tennis teams.
The Queen was presented with a tennis racket signed by all the members of the Davis Cup team before unveiling a plaque.
Rusedski said: "I told her it was the best in the country and it's going to be great for British tennis and British players."
I've heard it's nice but you'd have thought so for £40m
The 32-year-old has been training at the centre for more than a month and said the standard of coaching and the other facilities available to players was "top class".
The National Tennis Centre cost an estimated £39million and has 16 outdoor courts and six indoors, a gymnasium and sports science and medical facilities.
It is also the new headquarters of the LTA, which moved from its former home at Queen's Club last month.
The LTA hopes the centre will become "a one-site national focus for the sport in Great Britain and offer players the very best opportunity to realise their potential by offering world-class facilities and back-up."
During Thursday's visit, The Queen met Judy Murray, mother of British number one Andy, and asked about her son's progress, saying his latest victory was "very good".
On Wednesday, speaking after reaching the semi-finals in Miami, Andy Murray had said: "The last time I saw (Roehampton) is when I played the juniors there in 2004 I think. So I haven't actually seen (the centre).
"I've been to the site, but I haven't seen the centre. I've heard it's nice but you'd have thought so for £40m."