Ajax defender fired a warning to Champions League semi-final opponents Tottenham Hotspur that there was more to come from this young side after the Amsterdam club secured a first trophy in five years over the weekend.
Ajax won the KNVB Cup final in Rotterdam on Sunday for the 19th time in their history but first since 2010 as goals from Blind, a Klaas-Jan Huntelaar double and Rasmus Kristensen secured an emphatic 4-0 win over Willem II Tilburg.
"This is the first and now hopefully we can take more prizes," said Blind, who opened the floodgates on 38 minutes.
Ajax could still achieve a triple this season.
They take on Tottenham on Wednesday at home for a place in the Champions League final and are top of the table in the Dutch Eredivisie with two rounds to play.
"It looks as if everything is going right for us, both on and off the field. It's a feeling we must treasure," Blind told reporters. "But we are not finished. The season can still get whole lot better."
Ajax were last Dutch champions in 2014 and have not won a European club prize since their Champions League success in 1995, their fourth triumph after winning three European Cups on the trot from 1970.
They have reached the last four of Europe's top competition for the first time since 1997, eliminating Real Madrid and Juventus along the way.
Ajax have a 1-0 advantage over Tottenham after last week's semi-final first leg in London as they seek a berth in this year's final in Madrid on June 1.
"The season has gone perfectly but we are not yet satisfied," said manager Erik ten Hag. "We have shown some good things up to now and those memories will always be there. Beating Real Madrid away ... that we'll always remember.
"But realistically you need to have something tangible. And that is titles. Now that we have the cup, it must lead to others."