New Limits on the Production of Magnetic Monopoles at Fermilab

First results from an experiment (Fermilab E882) searching for magnetically charged particles bound to elements from the CDF and D{\O}detectors are reported. The experiment is described, and limits on magnetic monopole pair production cross sections for magnetic charges 1, 2, 3, and 6 times the Dirac pole strength are presented. These limits ($\sim1$ pb), hundreds of times smaller than those found in previous direct accelerator-based searches, use simple model assumptions for the photonic production of monopoles, as does the extraction of mass limits in the hundreds of GeV range.