We report measurements of the inclusive production of heavy quarkonium stat
es in Z decays based on the analysis of 3.6 million hadronic events collect
ed by the L3 detector at LEP. The measurement of inclusive J production and
an improved 95% confidence level upper limit on gamma production are prese
nted. In addition, two independent measurements of the ratio, f(p), Of prom
pt J mesons to those from B decay are made using two different isolation cu
ts to separate prompt J mesons from J mesons produced in the decays of b ha
drons. The results are: Br(Z --> J + X) = (3.21 +/- 0.21 (stat.)(-0.28)(+0.
19) (sys.)) X 10(-3) Br(Z --> gamma(1S) + X) < 4.4 x 10(-5), f(p) = (7.1 +/
- 2.1 (stat.) +/- 1.2 (sys.)(-0.8)(+1.5) (theo.)) X 10(-2). (C) 1999 Publis
hed by Elsevier Science B.V. All rights reserved.