We've been through this before in another thread. I'm just going to link to the Memory Alpha entry on money for now, which summarizes all the times it is mentioned.
Trek has been inconsistent about this (because the writers themselves haven't been consistent) but the times that Trek has said something to the effect of "money is no longer in use" it's been very explicit (I don't know how you get more explicit than Picard's "A lot has changed in three hundred years, People are no longer obsessed with the accumulation of 'things. We have eliminated hunger, want, the need for possessions.") The times that money has been referred to as existing (mostly in the 23rd century), it's been more frequent but in a much more offhanded fashion - such that it could be thought of as figure of speech left over from the market economy days of mankind.
Certainly the practical ramifications of the perfection of replicator technology is that any physical object is available essentially for free, meaning even if a market economy really exists, it must be very constrained compared to what we are used to. Though once again Trek hasn't been consistent here - periodically creating items which can't be replicated (from dilithium to latinum to ketracel white) for story purposes. Still, we're explicitly told that no one in the Federation lives in want of basic needs, and that people don't work because they have to, but because they want to. That suggests a radically different economic setup from the present.
