If you are talking about in public and in course of their duties, the general feeling is that it is not barred. There's no law in Florida specifically about recording police (despite some prominent arrests there). Florida is an all-party consent state, so you can't record conversations that there is an expectation of privacy without all parties' consent. There is an decision in the 1st circuit (not direclty binding on Florida) that puts the actions of a police officer in public in the "no expectation of privacy" category and that's what the general sense that the law provides.

