The Reds claimed a dramatic three points in the capital in Barclays Women's Super League action, with Marie Höbinger netting a penalty in minute 95 to claim the spoils.
Cornelia Kapocs had opened the scoring in the first half for Liverpool with a fine lobbed effort, before a Taylor Hinds own goal levelled proceedings after the interval.
Match report: Liverpool win at Tottenham in WSL with Marie Höbinger's stoppage-time pen
Höbinger then put the Reds back in front thanks to an inch-perfect free-kick, though Clare Hunt's deflected effort left the score all square ahead of the decisive strike from 12 yards in injury time.
"It was like history repeating itself in the first two games where we've had really good chances to go two or maybe even three up today," Beard told BBC Sport post-match.
"We've shown amazing character. Tottenham are a good side, but for us to keep plugging away at it and get the three points – it's a big three points for us."
He added: "We should've been two or three up with the chances that we've had. This is the problem now that the league is so competitive, that if you don't take your chances then at some point you're going to be under pressure. That's happened today.
"It was important we got the three points because the girls have been a little bit up and down confidence-wise, especially in the last week with the way it panned out for us. It's a big three points."
On the injury to Sofie Lundgaard in the first half and how that changed his game plan, Beard continued: "I'm gutted for Sofie because this is the second time this has happened to her.
"Ceri [Holland] is obviously out for two or three weeks, and she gets an opportunity to get a run in the team and the same thing has happened. It doesn't look good. We take Sofie out and we had to put Jas [Matthews] in midfield and she's more defence-minded, so we had to adjust slightly.
"We did think about maybe putting Fuka [Nagano] a bit higher, but we felt the way they were overloading our right side we needed to deal with that. We ended up changing to a 3-4-3, which I felt probably won us the game in the end."
Get your tickets for LFC Women v Man City at Anfield here