Konta was given a stern test by Natalia Vikhlyantseva but progressed to round two with a 7-5, 7-6 victory.
The British No 1 wasted five match points during the second-set tiebreak as Vikhlyantseva came from 6-2 down.
The Russian came close to taking the match to a third set but Konta avoided the extra time on court – and she was delighted with the win.
“First rounds are always tricky with both players trying to find the level they want to play,” Konta said.
“There were some nerves there but I enjoyed every second of it.
“I had to keep a good perspective. I didn’t do too much wrong but she played some good points
“I needed to make sure I gave credit to my opponent but kept the attention on my side.”
Konta reached the Wimbledon semi-finals last year so her expectations are higher than ever.
But the 27-year-old is not thinking about her previous accomplishments.
“I think I am playing this Championships independent of what happened last year,” she added.
“I am a little wiser and a little older this year so I’m playing a different Championships.
“I stayed tough out there and there were parts where I didn’t do well enough but I stayed strong.
“I need to make sure that I keep feeding myself good thoughts.”